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Finding the Third Proportional to 13,779 and 29,847

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Solution

The third proportional to 13,779 and 29,847 is: 64,652.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,779 : 29,847 = 29,847 : x
  2. Step 2: Convert to fraction form
    13,779/29,847 = 29,847/x
  3. Step 3: Cross multiply
    13,779x = 29,847 × 29,847
  4. Step 4: Simplify right side
    13,779x = 890,843,409
  5. Step 5: Solve for x
    x = 890,843,409/13,779
  6. Step 6: Final answer
    x = 64,652.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.