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Finding the Third Proportional to 129,006 and 199,259

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Solution

The third proportional to 129,006 and 199,259 is: 307,769.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,006 : 199,259 = 199,259 : x
  2. Step 2: Convert to fraction form
    129,006/199,259 = 199,259/x
  3. Step 3: Cross multiply
    129,006x = 199,259 × 199,259
  4. Step 4: Simplify right side
    129,006x = 39,704,149,081
  5. Step 5: Solve for x
    x = 39,704,149,081/129,006
  6. Step 6: Final answer
    x = 307,769.79

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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.