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Finding the Third Proportional to 87,208 and 130,472

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Solution

The third proportional to 87,208 and 130,472 is: 195,199.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,208 : 130,472 = 130,472 : x
  2. Step 2: Convert to fraction form
    87,208/130,472 = 130,472/x
  3. Step 3: Cross multiply
    87,208x = 130,472 × 130,472
  4. Step 4: Simplify right side
    87,208x = 17,022,942,784
  5. Step 5: Solve for x
    x = 17,022,942,784/87,208
  6. Step 6: Final answer
    x = 195,199.33

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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.