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Finding the Third Proportional to 80,782.31 and 171,406.13

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Solution

The third proportional to 80,782.31 and 171,406.13 is: 363,694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,782.31 : 171,406.13 = 171,406.13 : x
  2. Step 2: Convert to fraction form
    80,782.31/171,406.13 = 171,406.13/x
  3. Step 3: Cross multiply
    80,782.31x = 171,406.13 × 171,406.13
  4. Step 4: Simplify right side
    80,782.31x = 29,380,059,687.52
  5. Step 5: Solve for x
    x = 29,380,059,687.52/80,782.31
  6. Step 6: Final answer
    x = 363,694.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.