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Finding the Third Proportional to 129,016 and 199,357

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Solution

The third proportional to 129,016 and 199,357 is: 308,048.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,016 : 199,357 = 199,357 : x
  2. Step 2: Convert to fraction form
    129,016/199,357 = 199,357/x
  3. Step 3: Cross multiply
    129,016x = 199,357 × 199,357
  4. Step 4: Simplify right side
    129,016x = 39,743,213,449
  5. Step 5: Solve for x
    x = 39,743,213,449/129,016
  6. Step 6: Final answer
    x = 308,048.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.