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Finding the Third Proportional to 79,958 and 172,371

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Solution

The third proportional to 79,958 and 172,371 is: 371,592.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,958 : 172,371 = 172,371 : x
  2. Step 2: Convert to fraction form
    79,958/172,371 = 172,371/x
  3. Step 3: Cross multiply
    79,958x = 172,371 × 172,371
  4. Step 4: Simplify right side
    79,958x = 29,711,761,641
  5. Step 5: Solve for x
    x = 29,711,761,641/79,958
  6. Step 6: Final answer
    x = 371,592.11

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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.