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Finding the Third Proportional to 86,278.50 and 135,371.25

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Solution

The third proportional to 86,278.50 and 135,371.25 is: 212,397.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,278.50 : 135,371.25 = 135,371.25 : x
  2. Step 2: Convert to fraction form
    86,278.50/135,371.25 = 135,371.25/x
  3. Step 3: Cross multiply
    86,278.50x = 135,371.25 × 135,371.25
  4. Step 4: Simplify right side
    86,278.50x = 18,325,375,326.56
  5. Step 5: Solve for x
    x = 18,325,375,326.56/86,278.50
  6. Step 6: Final answer
    x = 212,397.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.