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Finding the Third Proportional to 79,311.50 and 171,691

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Solution

The third proportional to 79,311.50 and 171,691 is: 371,671.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,311.50 : 171,691 = 171,691 : x
  2. Step 2: Convert to fraction form
    79,311.50/171,691 = 171,691/x
  3. Step 3: Cross multiply
    79,311.50x = 171,691 × 171,691
  4. Step 4: Simplify right side
    79,311.50x = 29,477,799,481
  5. Step 5: Solve for x
    x = 29,477,799,481/79,311.50
  6. Step 6: Final answer
    x = 371,671.19

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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.