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Finding the Third Proportional to 129,514 and 196,960

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Solution

The third proportional to 129,514 and 196,960 is: 299,529.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,514 : 196,960 = 196,960 : x
  2. Step 2: Convert to fraction form
    129,514/196,960 = 196,960/x
  3. Step 3: Cross multiply
    129,514x = 196,960 × 196,960
  4. Step 4: Simplify right side
    129,514x = 38,793,241,600
  5. Step 5: Solve for x
    x = 38,793,241,600/129,514
  6. Step 6: Final answer
    x = 299,529.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.