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Finding the Third Proportional to 40,779 and 57,426

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Solution

The third proportional to 40,779 and 57,426 is: 80,868.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,779 : 57,426 = 57,426 : x
  2. Step 2: Convert to fraction form
    40,779/57,426 = 57,426/x
  3. Step 3: Cross multiply
    40,779x = 57,426 × 57,426
  4. Step 4: Simplify right side
    40,779x = 3,297,745,476
  5. Step 5: Solve for x
    x = 3,297,745,476/40,779
  6. Step 6: Final answer
    x = 80,868.72

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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.