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Finding the Third Proportional to 40,885 and 61,689

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Solution

The third proportional to 40,885 and 61,689 is: 93,078.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,885 : 61,689 = 61,689 : x
  2. Step 2: Convert to fraction form
    40,885/61,689 = 61,689/x
  3. Step 3: Cross multiply
    40,885x = 61,689 × 61,689
  4. Step 4: Simplify right side
    40,885x = 3,805,532,721
  5. Step 5: Solve for x
    x = 3,805,532,721/40,885
  6. Step 6: Final answer
    x = 93,078.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.