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Finding the Third Proportional to 79,910 and 172,274

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Solution

The third proportional to 79,910 and 172,274 is: 371,396.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,910 : 172,274 = 172,274 : x
  2. Step 2: Convert to fraction form
    79,910/172,274 = 172,274/x
  3. Step 3: Cross multiply
    79,910x = 172,274 × 172,274
  4. Step 4: Simplify right side
    79,910x = 29,678,331,076
  5. Step 5: Solve for x
    x = 29,678,331,076/79,910
  6. Step 6: Final answer
    x = 371,396.96

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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.