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Finding the Third Proportional to 87,200 and 127,690

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Solution

The third proportional to 87,200 and 127,690 is: 186,980.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,200 : 127,690 = 127,690 : x
  2. Step 2: Convert to fraction form
    87,200/127,690 = 127,690/x
  3. Step 3: Cross multiply
    87,200x = 127,690 × 127,690
  4. Step 4: Simplify right side
    87,200x = 16,304,736,100
  5. Step 5: Solve for x
    x = 16,304,736,100/87,200
  6. Step 6: Final answer
    x = 186,980.92

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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.