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Finding the Third Proportional to 129,612 and 309,126

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Solution

The third proportional to 129,612 and 309,126 is: 737,268.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,612 : 309,126 = 309,126 : x
  2. Step 2: Convert to fraction form
    129,612/309,126 = 309,126/x
  3. Step 3: Cross multiply
    129,612x = 309,126 × 309,126
  4. Step 4: Simplify right side
    129,612x = 95,558,883,876
  5. Step 5: Solve for x
    x = 95,558,883,876/129,612
  6. Step 6: Final answer
    x = 737,268.80

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.