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Finding the Third Proportional to 4,178.25 and 9,078.75

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Solution

The third proportional to 4,178.25 and 9,078.75 is: 19,726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.25 : 9,078.75 = 9,078.75 : x
  2. Step 2: Convert to fraction form
    4,178.25/9,078.75 = 9,078.75/x
  3. Step 3: Cross multiply
    4,178.25x = 9,078.75 × 9,078.75
  4. Step 4: Simplify right side
    4,178.25x = 82,423,701.56
  5. Step 5: Solve for x
    x = 82,423,701.56/4,178.25
  6. Step 6: Final answer
    x = 19,726.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.