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Finding the Third Proportional to 79,304 and 172,432

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Solution

The third proportional to 79,304 and 172,432 is: 374,921.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,304 : 172,432 = 172,432 : x
  2. Step 2: Convert to fraction form
    79,304/172,432 = 172,432/x
  3. Step 3: Cross multiply
    79,304x = 172,432 × 172,432
  4. Step 4: Simplify right side
    79,304x = 29,732,794,624
  5. Step 5: Solve for x
    x = 29,732,794,624/79,304
  6. Step 6: Final answer
    x = 374,921.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.