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Finding the Third Proportional to 4,478 and 7,876

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Solution

The third proportional to 4,478 and 7,876 is: 13,852.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478 : 7,876 = 7,876 : x
  2. Step 2: Convert to fraction form
    4,478/7,876 = 7,876/x
  3. Step 3: Cross multiply
    4,478x = 7,876 × 7,876
  4. Step 4: Simplify right side
    4,478x = 62,031,376
  5. Step 5: Solve for x
    x = 62,031,376/4,478
  6. Step 6: Final answer
    x = 13,852.47

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.