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Finding the Third Proportional to 87,384 and 130,764

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Solution

The third proportional to 87,384 and 130,764 is: 195,679.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,384 : 130,764 = 130,764 : x
  2. Step 2: Convert to fraction form
    87,384/130,764 = 130,764/x
  3. Step 3: Cross multiply
    87,384x = 130,764 × 130,764
  4. Step 4: Simplify right side
    87,384x = 17,099,223,696
  5. Step 5: Solve for x
    x = 17,099,223,696/87,384
  6. Step 6: Final answer
    x = 195,679.11

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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.