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Finding the Third Proportional to 129,382.31 and 274,141.13

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Solution

The third proportional to 129,382.31 and 274,141.13 is: 580,862.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,382.31 : 274,141.13 = 274,141.13 : x
  2. Step 2: Convert to fraction form
    129,382.31/274,141.13 = 274,141.13/x
  3. Step 3: Cross multiply
    129,382.31x = 274,141.13 × 274,141.13
  4. Step 4: Simplify right side
    129,382.31x = 75,153,356,416.27
  5. Step 5: Solve for x
    x = 75,153,356,416.27/129,382.31
  6. Step 6: Final answer
    x = 580,862.68

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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.