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Finding the Third Proportional to 89,691.75 and 140,712.75

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Solution

The third proportional to 89,691.75 and 140,712.75 is: 220,756.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,691.75 : 140,712.75 = 140,712.75 : x
  2. Step 2: Convert to fraction form
    89,691.75/140,712.75 = 140,712.75/x
  3. Step 3: Cross multiply
    89,691.75x = 140,712.75 × 140,712.75
  4. Step 4: Simplify right side
    89,691.75x = 19,800,078,012.56
  5. Step 5: Solve for x
    x = 19,800,078,012.56/89,691.75
  6. Step 6: Final answer
    x = 220,756.96

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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.