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Finding the Third Proportional to 4,247.75 and 9,178.95

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Solution

The third proportional to 4,247.75 and 9,178.95 is: 19,834.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,247.75 : 9,178.95 = 9,178.95 : x
  2. Step 2: Convert to fraction form
    4,247.75/9,178.95 = 9,178.95/x
  3. Step 3: Cross multiply
    4,247.75x = 9,178.95 × 9,178.95
  4. Step 4: Simplify right side
    4,247.75x = 84,253,037.05
  5. Step 5: Solve for x
    x = 84,253,037.05/4,247.75
  6. Step 6: Final answer
    x = 19,834.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.