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Finding the Third Proportional to 91,512 and 137,079

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Solution

The third proportional to 91,512 and 137,079 is: 205,335.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,512 : 137,079 = 137,079 : x
  2. Step 2: Convert to fraction form
    91,512/137,079 = 137,079/x
  3. Step 3: Cross multiply
    91,512x = 137,079 × 137,079
  4. Step 4: Simplify right side
    91,512x = 18,790,652,241
  5. Step 5: Solve for x
    x = 18,790,652,241/91,512
  6. Step 6: Final answer
    x = 205,335.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.