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Finding the Third Proportional to 87,382 and 130,931

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Solution

The third proportional to 87,382 and 130,931 is: 196,183.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,382 : 130,931 = 130,931 : x
  2. Step 2: Convert to fraction form
    87,382/130,931 = 130,931/x
  3. Step 3: Cross multiply
    87,382x = 130,931 × 130,931
  4. Step 4: Simplify right side
    87,382x = 17,142,926,761
  5. Step 5: Solve for x
    x = 17,142,926,761/87,382
  6. Step 6: Final answer
    x = 196,183.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.