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Finding the Third Proportional to 47,779 and 74,132

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Solution

The third proportional to 47,779 and 74,132 is: 115,020.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,779 : 74,132 = 74,132 : x
  2. Step 2: Convert to fraction form
    47,779/74,132 = 74,132/x
  3. Step 3: Cross multiply
    47,779x = 74,132 × 74,132
  4. Step 4: Simplify right side
    47,779x = 5,495,553,424
  5. Step 5: Solve for x
    x = 5,495,553,424/47,779
  6. Step 6: Final answer
    x = 115,020.27

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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.