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Finding the Third Proportional to 81,448 and 127,376

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Solution

The third proportional to 81,448 and 127,376 is: 199,202.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,448 : 127,376 = 127,376 : x
  2. Step 2: Convert to fraction form
    81,448/127,376 = 127,376/x
  3. Step 3: Cross multiply
    81,448x = 127,376 × 127,376
  4. Step 4: Simplify right side
    81,448x = 16,224,645,376
  5. Step 5: Solve for x
    x = 16,224,645,376/81,448
  6. Step 6: Final answer
    x = 199,202.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.