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Finding the Third Proportional to 30,486,538 and 65,393,731

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Solution

The third proportional to 30,486,538 and 65,393,731 is: 140,269,782.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,486,538 : 65,393,731 = 65,393,731 : x
  2. Step 2: Convert to fraction form
    30,486,538/65,393,731 = 65,393,731/x
  3. Step 3: Cross multiply
    30,486,538x = 65,393,731 × 65,393,731
  4. Step 4: Simplify right side
    30,486,538x = 4,276,340,054,100,361
  5. Step 5: Solve for x
    x = 4,276,340,054,100,361/30,486,538
  6. Step 6: Final answer
    x = 140,269,782.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.