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Finding the Third Proportional to 129,296 and 199,704

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Solution

The third proportional to 129,296 and 199,704 is: 308,452.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,296 : 199,704 = 199,704 : x
  2. Step 2: Convert to fraction form
    129,296/199,704 = 199,704/x
  3. Step 3: Cross multiply
    129,296x = 199,704 × 199,704
  4. Step 4: Simplify right side
    129,296x = 39,881,687,616
  5. Step 5: Solve for x
    x = 39,881,687,616/129,296
  6. Step 6: Final answer
    x = 308,452.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.