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Finding the Third Proportional to 40,915.13 and 85,691.67

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Solution

The third proportional to 40,915.13 and 85,691.67 is: 179,470.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,915.13 : 85,691.67 = 85,691.67 : x
  2. Step 2: Convert to fraction form
    40,915.13/85,691.67 = 85,691.67/x
  3. Step 3: Cross multiply
    40,915.13x = 85,691.67 × 85,691.67
  4. Step 4: Simplify right side
    40,915.13x = 7,343,062,628.73
  5. Step 5: Solve for x
    x = 7,343,062,628.73/40,915.13
  6. Step 6: Final answer
    x = 179,470.61

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.