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Finding the Third Proportional to 87,708 and 128,286

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Solution

The third proportional to 87,708 and 128,286 is: 187,637.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,708 : 128,286 = 128,286 : x
  2. Step 2: Convert to fraction form
    87,708/128,286 = 128,286/x
  3. Step 3: Cross multiply
    87,708x = 128,286 × 128,286
  4. Step 4: Simplify right side
    87,708x = 16,457,297,796
  5. Step 5: Solve for x
    x = 16,457,297,796/87,708
  6. Step 6: Final answer
    x = 187,637.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.