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Finding the Third Proportional to 402,499.13 and 625,618.69

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Solution

The third proportional to 402,499.13 and 625,618.69 is: 972,421.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,499.13 : 625,618.69 = 625,618.69 : x
  2. Step 2: Convert to fraction form
    402,499.13/625,618.69 = 625,618.69/x
  3. Step 3: Cross multiply
    402,499.13x = 625,618.69 × 625,618.69
  4. Step 4: Simplify right side
    402,499.13x = 391,398,742,149.22
  5. Step 5: Solve for x
    x = 391,398,742,149.22/402,499.13
  6. Step 6: Final answer
    x = 972,421.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.