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Finding the Third Proportional to 40,300 and 90,725

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Solution

The third proportional to 40,300 and 90,725 is: 204,243.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,300 : 90,725 = 90,725 : x
  2. Step 2: Convert to fraction form
    40,300/90,725 = 90,725/x
  3. Step 3: Cross multiply
    40,300x = 90,725 × 90,725
  4. Step 4: Simplify right side
    40,300x = 8,231,025,625
  5. Step 5: Solve for x
    x = 8,231,025,625/40,300
  6. Step 6: Final answer
    x = 204,243.81

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.