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Finding the Third Proportional to 8,478 and 18,589.50

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Solution

The third proportional to 8,478 and 18,589.50 is: 40,760.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478 : 18,589.50 = 18,589.50 : x
  2. Step 2: Convert to fraction form
    8,478/18,589.50 = 18,589.50/x
  3. Step 3: Cross multiply
    8,478x = 18,589.50 × 18,589.50
  4. Step 4: Simplify right side
    8,478x = 345,569,510.25
  5. Step 5: Solve for x
    x = 345,569,510.25/8,478
  6. Step 6: Final answer
    x = 40,760.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.