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Finding the Third Proportional to 157,779 and 339,615

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Solution

The third proportional to 157,779 and 339,615 is: 731,012.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,779 : 339,615 = 339,615 : x
  2. Step 2: Convert to fraction form
    157,779/339,615 = 339,615/x
  3. Step 3: Cross multiply
    157,779x = 339,615 × 339,615
  4. Step 4: Simplify right side
    157,779x = 115,338,348,225
  5. Step 5: Solve for x
    x = 115,338,348,225/157,779
  6. Step 6: Final answer
    x = 731,012.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.