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Finding the Third Proportional to 80,463 and 171,321

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Solution

The third proportional to 80,463 and 171,321 is: 364,774.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,463 : 171,321 = 171,321 : x
  2. Step 2: Convert to fraction form
    80,463/171,321 = 171,321/x
  3. Step 3: Cross multiply
    80,463x = 171,321 × 171,321
  4. Step 4: Simplify right side
    80,463x = 29,350,885,041
  5. Step 5: Solve for x
    x = 29,350,885,041/80,463
  6. Step 6: Final answer
    x = 364,774.93

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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.