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Finding the Third Proportional to 81,324 and 127,458

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Solution

The third proportional to 81,324 and 127,458 is: 199,763.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,324 : 127,458 = 127,458 : x
  2. Step 2: Convert to fraction form
    81,324/127,458 = 127,458/x
  3. Step 3: Cross multiply
    81,324x = 127,458 × 127,458
  4. Step 4: Simplify right side
    81,324x = 16,245,541,764
  5. Step 5: Solve for x
    x = 16,245,541,764/81,324
  6. Step 6: Final answer
    x = 199,763.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.