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Finding the Third Proportional to 88,462.13 and 137,158.31

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Solution

The third proportional to 88,462.13 and 137,158.31 is: 212,660.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,462.13 : 137,158.31 = 137,158.31 : x
  2. Step 2: Convert to fraction form
    88,462.13/137,158.31 = 137,158.31/x
  3. Step 3: Cross multiply
    88,462.13x = 137,158.31 × 137,158.31
  4. Step 4: Simplify right side
    88,462.13x = 18,812,402,687.85
  5. Step 5: Solve for x
    x = 18,812,402,687.85/88,462.13
  6. Step 6: Final answer
    x = 212,660.53

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.