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Finding the Third Proportional to 86,862.75 and 137,655.38

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Solution

The third proportional to 86,862.75 and 137,655.38 is: 218,148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,862.75 : 137,655.38 = 137,655.38 : x
  2. Step 2: Convert to fraction form
    86,862.75/137,655.38 = 137,655.38/x
  3. Step 3: Cross multiply
    86,862.75x = 137,655.38 × 137,655.38
  4. Step 4: Simplify right side
    86,862.75x = 18,949,002,266.39
  5. Step 5: Solve for x
    x = 18,949,002,266.39/86,862.75
  6. Step 6: Final answer
    x = 218,148.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.