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Finding the Third Proportional to 40,286.74 and 85,375.90

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Solution

The third proportional to 40,286.74 and 85,375.90 is: 180,929.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,286.74 : 85,375.90 = 85,375.90 : x
  2. Step 2: Convert to fraction form
    40,286.74/85,375.90 = 85,375.90/x
  3. Step 3: Cross multiply
    40,286.74x = 85,375.90 × 85,375.90
  4. Step 4: Simplify right side
    40,286.74x = 7,289,044,034.01
  5. Step 5: Solve for x
    x = 7,289,044,034.01/40,286.74
  6. Step 6: Final answer
    x = 180,929.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.