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Finding the Third Proportional to 132,279 and 199,612

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Solution

The third proportional to 132,279 and 199,612 is: 301,219.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,279 : 199,612 = 199,612 : x
  2. Step 2: Convert to fraction form
    132,279/199,612 = 199,612/x
  3. Step 3: Cross multiply
    132,279x = 199,612 × 199,612
  4. Step 4: Simplify right side
    132,279x = 39,844,950,544
  5. Step 5: Solve for x
    x = 39,844,950,544/132,279
  6. Step 6: Final answer
    x = 301,219.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.