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Finding the Third Proportional to 406,109 and 631,312

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Solution

The third proportional to 406,109 and 631,312 is: 981,398.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,109 : 631,312 = 631,312 : x
  2. Step 2: Convert to fraction form
    406,109/631,312 = 631,312/x
  3. Step 3: Cross multiply
    406,109x = 631,312 × 631,312
  4. Step 4: Simplify right side
    406,109x = 398,554,841,344
  5. Step 5: Solve for x
    x = 398,554,841,344/406,109
  6. Step 6: Final answer
    x = 981,398.69

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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.