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Finding the Third Proportional to 129,013 and 199,352

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Solution

The third proportional to 129,013 and 199,352 is: 308,040.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,013 : 199,352 = 199,352 : x
  2. Step 2: Convert to fraction form
    129,013/199,352 = 199,352/x
  3. Step 3: Cross multiply
    129,013x = 199,352 × 199,352
  4. Step 4: Simplify right side
    129,013x = 39,741,219,904
  5. Step 5: Solve for x
    x = 39,741,219,904/129,013
  6. Step 6: Final answer
    x = 308,040.43

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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.