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Finding the Third Proportional to 8,478 and 15,888

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Solution

The third proportional to 8,478 and 15,888 is: 29,774.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478 : 15,888 = 15,888 : x
  2. Step 2: Convert to fraction form
    8,478/15,888 = 15,888/x
  3. Step 3: Cross multiply
    8,478x = 15,888 × 15,888
  4. Step 4: Simplify right side
    8,478x = 252,428,544
  5. Step 5: Solve for x
    x = 252,428,544/8,478
  6. Step 6: Final answer
    x = 29,774.54

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.