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Finding the Third Proportional to 27,779 and 43,025

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Solution

The third proportional to 27,779 and 43,025 is: 66,638.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,779 : 43,025 = 43,025 : x
  2. Step 2: Convert to fraction form
    27,779/43,025 = 43,025/x
  3. Step 3: Cross multiply
    27,779x = 43,025 × 43,025
  4. Step 4: Simplify right side
    27,779x = 1,851,150,625
  5. Step 5: Solve for x
    x = 1,851,150,625/27,779
  6. Step 6: Final answer
    x = 66,638.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.