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Finding the Third Proportional to 87,720 and 190,344

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Solution

The third proportional to 87,720 and 190,344 is: 413,028.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,720 : 190,344 = 190,344 : x
  2. Step 2: Convert to fraction form
    87,720/190,344 = 190,344/x
  3. Step 3: Cross multiply
    87,720x = 190,344 × 190,344
  4. Step 4: Simplify right side
    87,720x = 36,230,838,336
  5. Step 5: Solve for x
    x = 36,230,838,336/87,720
  6. Step 6: Final answer
    x = 413,028.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.