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Finding the Third Proportional to 87,184 and 134,720

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Solution

The third proportional to 87,184 and 134,720 is: 208,174.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,184 : 134,720 = 134,720 : x
  2. Step 2: Convert to fraction form
    87,184/134,720 = 134,720/x
  3. Step 3: Cross multiply
    87,184x = 134,720 × 134,720
  4. Step 4: Simplify right side
    87,184x = 18,149,478,400
  5. Step 5: Solve for x
    x = 18,149,478,400/87,184
  6. Step 6: Final answer
    x = 208,174.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.