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Finding the Third Proportional to 406,167 and 631,455

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Solution

The third proportional to 406,167 and 631,455 is: 981,703.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,167 : 631,455 = 631,455 : x
  2. Step 2: Convert to fraction form
    406,167/631,455 = 631,455/x
  3. Step 3: Cross multiply
    406,167x = 631,455 × 631,455
  4. Step 4: Simplify right side
    406,167x = 398,735,417,025
  5. Step 5: Solve for x
    x = 398,735,417,025/406,167
  6. Step 6: Final answer
    x = 981,703.13

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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.