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Finding the Third Proportional to 87,718 and 128,296

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Solution

The third proportional to 87,718 and 128,296 is: 187,645.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,718 : 128,296 = 128,296 : x
  2. Step 2: Convert to fraction form
    87,718/128,296 = 128,296/x
  3. Step 3: Cross multiply
    87,718x = 128,296 × 128,296
  4. Step 4: Simplify right side
    87,718x = 16,459,863,616
  5. Step 5: Solve for x
    x = 16,459,863,616/87,718
  6. Step 6: Final answer
    x = 187,645.22

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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.