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Finding the Third Proportional to 129,899 and 266,238

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Solution

The third proportional to 129,899 and 266,238 is: 545,675.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,899 : 266,238 = 266,238 : x
  2. Step 2: Convert to fraction form
    129,899/266,238 = 266,238/x
  3. Step 3: Cross multiply
    129,899x = 266,238 × 266,238
  4. Step 4: Simplify right side
    129,899x = 70,882,672,644
  5. Step 5: Solve for x
    x = 70,882,672,644/129,899
  6. Step 6: Final answer
    x = 545,675.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.