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Finding the Third Proportional to 129,616.31 and 269,578.69

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Solution

The third proportional to 129,616.31 and 269,578.69 is: 560,675.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,616.31 : 269,578.69 = 269,578.69 : x
  2. Step 2: Convert to fraction form
    129,616.31/269,578.69 = 269,578.69/x
  3. Step 3: Cross multiply
    129,616.31x = 269,578.69 × 269,578.69
  4. Step 4: Simplify right side
    129,616.31x = 72,672,668,754.22
  5. Step 5: Solve for x
    x = 72,672,668,754.22/129,616.31
  6. Step 6: Final answer
    x = 560,675.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.