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Finding the Third Proportional to 40,774 and 57,418

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Solution

The third proportional to 40,774 and 57,418 is: 80,856.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,774 : 57,418 = 57,418 : x
  2. Step 2: Convert to fraction form
    40,774/57,418 = 57,418/x
  3. Step 3: Cross multiply
    40,774x = 57,418 × 57,418
  4. Step 4: Simplify right side
    40,774x = 3,296,826,724
  5. Step 5: Solve for x
    x = 3,296,826,724/40,774
  6. Step 6: Final answer
    x = 80,856.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.