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Finding the Third Proportional to 107,972 and 172,498

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Solution

The third proportional to 107,972 and 172,498 is: 275,585.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,972 : 172,498 = 172,498 : x
  2. Step 2: Convert to fraction form
    107,972/172,498 = 172,498/x
  3. Step 3: Cross multiply
    107,972x = 172,498 × 172,498
  4. Step 4: Simplify right side
    107,972x = 29,755,560,004
  5. Step 5: Solve for x
    x = 29,755,560,004/107,972
  6. Step 6: Final answer
    x = 275,585.89

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.