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Finding the Third Proportional to 40,787 and 60,422

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Solution

The third proportional to 40,787 and 60,422 is: 89,509.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,787 : 60,422 = 60,422 : x
  2. Step 2: Convert to fraction form
    40,787/60,422 = 60,422/x
  3. Step 3: Cross multiply
    40,787x = 60,422 × 60,422
  4. Step 4: Simplify right side
    40,787x = 3,650,818,084
  5. Step 5: Solve for x
    x = 3,650,818,084/40,787
  6. Step 6: Final answer
    x = 89,509.36

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.