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Finding the Third Proportional to 86,250 and 137,151

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Solution

The third proportional to 86,250 and 137,151 is: 218,091.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,250 : 137,151 = 137,151 : x
  2. Step 2: Convert to fraction form
    86,250/137,151 = 137,151/x
  3. Step 3: Cross multiply
    86,250x = 137,151 × 137,151
  4. Step 4: Simplify right side
    86,250x = 18,810,396,801
  5. Step 5: Solve for x
    x = 18,810,396,801/86,250
  6. Step 6: Final answer
    x = 218,091.56

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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.