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Finding the Third Proportional to 79,957 and 172,370

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Solution

The third proportional to 79,957 and 172,370 is: 371,592.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,957 : 172,370 = 172,370 : x
  2. Step 2: Convert to fraction form
    79,957/172,370 = 172,370/x
  3. Step 3: Cross multiply
    79,957x = 172,370 × 172,370
  4. Step 4: Simplify right side
    79,957x = 29,711,416,900
  5. Step 5: Solve for x
    x = 29,711,416,900/79,957
  6. Step 6: Final answer
    x = 371,592.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.