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Finding the Third Proportional to 3,378.74 and 5,380.41

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Solution

The third proportional to 3,378.74 and 5,380.41 is: 8,567.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.74 : 5,380.41 = 5,380.41 : x
  2. Step 2: Convert to fraction form
    3,378.74/5,380.41 = 5,380.41/x
  3. Step 3: Cross multiply
    3,378.74x = 5,380.41 × 5,380.41
  4. Step 4: Simplify right side
    3,378.74x = 28,948,802.94
  5. Step 5: Solve for x
    x = 28,948,802.94/3,378.74
  6. Step 6: Final answer
    x = 8,567.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.