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Finding the Third Proportional to 2,315,506,436,362.40 and 3,503,040,240,010.40

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Solution

The third proportional to 2,315,506,436,362.40 and 3,503,040,240,010.40 is: 5,299,614,257,350.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315,506,436,362.40 : 3,503,040,240,010.40 = 3,503,040,240,010.40 : x
  2. Step 2: Convert to fraction form
    2,315,506,436,362.40/3,503,040,240,010.40 = 3,503,040,240,010.40/x
  3. Step 3: Cross multiply
    2,315,506,436,362.40x = 3,503,040,240,010.40 × 3,503,040,240,010.40
  4. Step 4: Simplify right side
    2,315,506,436,362.40x = 12,271,290,923,132,119,932,731,392
  5. Step 5: Solve for x
    x = 12,271,290,923,132,119,932,731,392/2,315,506,436,362.40
  6. Step 6: Final answer
    x = 5,299,614,257,350.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.