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Finding the Third Proportional to 40,425.75 and 57,861

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Solution

The third proportional to 40,425.75 and 57,861 is: 82,815.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,425.75 : 57,861 = 57,861 : x
  2. Step 2: Convert to fraction form
    40,425.75/57,861 = 57,861/x
  3. Step 3: Cross multiply
    40,425.75x = 57,861 × 57,861
  4. Step 4: Simplify right side
    40,425.75x = 3,347,895,321
  5. Step 5: Solve for x
    x = 3,347,895,321/40,425.75
  6. Step 6: Final answer
    x = 82,815.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.