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Finding the Third Proportional to 87,488 and 131,312

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Solution

The third proportional to 87,488 and 131,312 is: 197,088.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,488 : 131,312 = 131,312 : x
  2. Step 2: Convert to fraction form
    87,488/131,312 = 131,312/x
  3. Step 3: Cross multiply
    87,488x = 131,312 × 131,312
  4. Step 4: Simplify right side
    87,488x = 17,242,841,344
  5. Step 5: Solve for x
    x = 17,242,841,344/87,488
  6. Step 6: Final answer
    x = 197,088.07

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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.