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Finding the Third Proportional to 406,102 and 631,302

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Solution

The third proportional to 406,102 and 631,302 is: 981,384.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,102 : 631,302 = 631,302 : x
  2. Step 2: Convert to fraction form
    406,102/631,302 = 631,302/x
  3. Step 3: Cross multiply
    406,102x = 631,302 × 631,302
  4. Step 4: Simplify right side
    406,102x = 398,542,215,204
  5. Step 5: Solve for x
    x = 398,542,215,204/406,102
  6. Step 6: Final answer
    x = 981,384.52

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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.