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Finding the Third Proportional to 5,478 and 9,561

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Solution

The third proportional to 5,478 and 9,561 is: 16,687.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478 : 9,561 = 9,561 : x
  2. Step 2: Convert to fraction form
    5,478/9,561 = 9,561/x
  3. Step 3: Cross multiply
    5,478x = 9,561 × 9,561
  4. Step 4: Simplify right side
    5,478x = 91,412,721
  5. Step 5: Solve for x
    x = 91,412,721/5,478
  6. Step 6: Final answer
    x = 16,687.24

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.