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Finding the Third Proportional to 45,418 and 67,847

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Solution

The third proportional to 45,418 and 67,847 is: 101,352.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,418 : 67,847 = 67,847 : x
  2. Step 2: Convert to fraction form
    45,418/67,847 = 67,847/x
  3. Step 3: Cross multiply
    45,418x = 67,847 × 67,847
  4. Step 4: Simplify right side
    45,418x = 4,603,215,409
  5. Step 5: Solve for x
    x = 4,603,215,409/45,418
  6. Step 6: Final answer
    x = 101,352.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.