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Finding the Third Proportional to 87,014.25 and 138,458

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Solution

The third proportional to 87,014.25 and 138,458 is: 220,315.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,014.25 : 138,458 = 138,458 : x
  2. Step 2: Convert to fraction form
    87,014.25/138,458 = 138,458/x
  3. Step 3: Cross multiply
    87,014.25x = 138,458 × 138,458
  4. Step 4: Simplify right side
    87,014.25x = 19,170,617,764
  5. Step 5: Solve for x
    x = 19,170,617,764/87,014.25
  6. Step 6: Final answer
    x = 220,315.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.