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Finding the Third Proportional to 108,668 and 172,902

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Solution

The third proportional to 108,668 and 172,902 is: 275,104.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,668 : 172,902 = 172,902 : x
  2. Step 2: Convert to fraction form
    108,668/172,902 = 172,902/x
  3. Step 3: Cross multiply
    108,668x = 172,902 × 172,902
  4. Step 4: Simplify right side
    108,668x = 29,895,101,604
  5. Step 5: Solve for x
    x = 29,895,101,604/108,668
  6. Step 6: Final answer
    x = 275,104.92

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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.