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Finding the Third Proportional to 261,668 and 415,022

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Solution

The third proportional to 261,668 and 415,022 is: 658,251.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,668 : 415,022 = 415,022 : x
  2. Step 2: Convert to fraction form
    261,668/415,022 = 415,022/x
  3. Step 3: Cross multiply
    261,668x = 415,022 × 415,022
  4. Step 4: Simplify right side
    261,668x = 172,243,260,484
  5. Step 5: Solve for x
    x = 172,243,260,484/261,668
  6. Step 6: Final answer
    x = 658,251.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.