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Finding the Third Proportional to 38,448 and 82,431

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Solution

The third proportional to 38,448 and 82,431 is: 176,728.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,448 : 82,431 = 82,431 : x
  2. Step 2: Convert to fraction form
    38,448/82,431 = 82,431/x
  3. Step 3: Cross multiply
    38,448x = 82,431 × 82,431
  4. Step 4: Simplify right side
    38,448x = 6,794,869,761
  5. Step 5: Solve for x
    x = 6,794,869,761/38,448
  6. Step 6: Final answer
    x = 176,728.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.