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Finding the Third Proportional to 82,431 and 124,416

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Solution

The third proportional to 82,431 and 124,416 is: 187,785.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,431 : 124,416 = 124,416 : x
  2. Step 2: Convert to fraction form
    82,431/124,416 = 124,416/x
  3. Step 3: Cross multiply
    82,431x = 124,416 × 124,416
  4. Step 4: Simplify right side
    82,431x = 15,479,341,056
  5. Step 5: Solve for x
    x = 15,479,341,056/82,431
  6. Step 6: Final answer
    x = 187,785.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.