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Finding the Third Proportional to 2,358,840 and 3,534,559.50

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Solution

The third proportional to 2,358,840 and 3,534,559.50 is: 5,296,294.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358,840 : 3,534,559.50 = 3,534,559.50 : x
  2. Step 2: Convert to fraction form
    2,358,840/3,534,559.50 = 3,534,559.50/x
  3. Step 3: Cross multiply
    2,358,840x = 3,534,559.50 × 3,534,559.50
  4. Step 4: Simplify right side
    2,358,840x = 12,493,110,859,040.25
  5. Step 5: Solve for x
    x = 12,493,110,859,040.25/2,358,840
  6. Step 6: Final answer
    x = 5,296,294.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.