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Finding the Third Proportional to 406,107 and 631,309

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Solution

The third proportional to 406,107 and 631,309 is: 981,394.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,107 : 631,309 = 631,309 : x
  2. Step 2: Convert to fraction form
    406,107/631,309 = 631,309/x
  3. Step 3: Cross multiply
    406,107x = 631,309 × 631,309
  4. Step 4: Simplify right side
    406,107x = 398,551,053,481
  5. Step 5: Solve for x
    x = 398,551,053,481/406,107
  6. Step 6: Final answer
    x = 981,394.20

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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.