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Finding the Third Proportional to 129,596 and 278,876

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Solution

The third proportional to 129,596 and 278,876 is: 600,109.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,596 : 278,876 = 278,876 : x
  2. Step 2: Convert to fraction form
    129,596/278,876 = 278,876/x
  3. Step 3: Cross multiply
    129,596x = 278,876 × 278,876
  4. Step 4: Simplify right side
    129,596x = 77,771,823,376
  5. Step 5: Solve for x
    x = 77,771,823,376/129,596
  6. Step 6: Final answer
    x = 600,109.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.