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Finding the Third Proportional to 40,989 and 61,860

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Solution

The third proportional to 40,989 and 61,860 is: 93,358.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,989 : 61,860 = 61,860 : x
  2. Step 2: Convert to fraction form
    40,989/61,860 = 61,860/x
  3. Step 3: Cross multiply
    40,989x = 61,860 × 61,860
  4. Step 4: Simplify right side
    40,989x = 3,826,659,600
  5. Step 5: Solve for x
    x = 3,826,659,600/40,989
  6. Step 6: Final answer
    x = 93,358.21

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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.