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Finding the Third Proportional to 79,956 and 172,217

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Solution

The third proportional to 79,956 and 172,217 is: 370,937.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,956 : 172,217 = 172,217 : x
  2. Step 2: Convert to fraction form
    79,956/172,217 = 172,217/x
  3. Step 3: Cross multiply
    79,956x = 172,217 × 172,217
  4. Step 4: Simplify right side
    79,956x = 29,658,695,089
  5. Step 5: Solve for x
    x = 29,658,695,089/79,956
  6. Step 6: Final answer
    x = 370,937.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.