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Finding the Third Proportional to 86,508 and 127,757.25

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Solution

The third proportional to 86,508 and 127,757.25 is: 188,675.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,508 : 127,757.25 = 127,757.25 : x
  2. Step 2: Convert to fraction form
    86,508/127,757.25 = 127,757.25/x
  3. Step 3: Cross multiply
    86,508x = 127,757.25 × 127,757.25
  4. Step 4: Simplify right side
    86,508x = 16,321,914,927.56
  5. Step 5: Solve for x
    x = 16,321,914,927.56/86,508
  6. Step 6: Final answer
    x = 188,675.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.