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Finding the Third Proportional to 80,354 and 171,373

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Solution

The third proportional to 80,354 and 171,373 is: 365,491.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,354 : 171,373 = 171,373 : x
  2. Step 2: Convert to fraction form
    80,354/171,373 = 171,373/x
  3. Step 3: Cross multiply
    80,354x = 171,373 × 171,373
  4. Step 4: Simplify right side
    80,354x = 29,368,705,129
  5. Step 5: Solve for x
    x = 29,368,705,129/80,354
  6. Step 6: Final answer
    x = 365,491.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.