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Finding the Third Proportional to 87,319 and 131,488

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Solution

The third proportional to 87,319 and 131,488 is: 197,999.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,319 : 131,488 = 131,488 : x
  2. Step 2: Convert to fraction form
    87,319/131,488 = 131,488/x
  3. Step 3: Cross multiply
    87,319x = 131,488 × 131,488
  4. Step 4: Simplify right side
    87,319x = 17,289,094,144
  5. Step 5: Solve for x
    x = 17,289,094,144/87,319
  6. Step 6: Final answer
    x = 197,999.22

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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.