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Finding the Third Proportional to 79,327 and 172,478

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Solution

The third proportional to 79,327 and 172,478 is: 375,013.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,327 : 172,478 = 172,478 : x
  2. Step 2: Convert to fraction form
    79,327/172,478 = 172,478/x
  3. Step 3: Cross multiply
    79,327x = 172,478 × 172,478
  4. Step 4: Simplify right side
    79,327x = 29,748,660,484
  5. Step 5: Solve for x
    x = 29,748,660,484/79,327
  6. Step 6: Final answer
    x = 375,013.05

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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.