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Finding the Third Proportional to 3,378.38 and 3,801.94

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Solution

The third proportional to 3,378.38 and 3,801.94 is: 4,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.38 : 3,801.94 = 3,801.94 : x
  2. Step 2: Convert to fraction form
    3,378.38/3,801.94 = 3,801.94/x
  3. Step 3: Cross multiply
    3,378.38x = 3,801.94 × 3,801.94
  4. Step 4: Simplify right side
    3,378.38x = 14,454,728.75
  5. Step 5: Solve for x
    x = 14,454,728.75/3,378.38
  6. Step 6: Final answer
    x = 4,278.60

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.