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Finding the Third Proportional to 11,478 and 15,282

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Solution

The third proportional to 11,478 and 15,282 is: 20,346.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478 : 15,282 = 15,282 : x
  2. Step 2: Convert to fraction form
    11,478/15,282 = 15,282/x
  3. Step 3: Cross multiply
    11,478x = 15,282 × 15,282
  4. Step 4: Simplify right side
    11,478x = 233,539,524
  5. Step 5: Solve for x
    x = 233,539,524/11,478
  6. Step 6: Final answer
    x = 20,346.71

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.