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Finding the Third Proportional to 6,381.60 and 8,392.04

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Solution

The third proportional to 6,381.60 and 8,392.04 is: 11,035.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.60 : 8,392.04 = 8,392.04 : x
  2. Step 2: Convert to fraction form
    6,381.60/8,392.04 = 8,392.04/x
  3. Step 3: Cross multiply
    6,381.60x = 8,392.04 × 8,392.04
  4. Step 4: Simplify right side
    6,381.60x = 70,426,385.19
  5. Step 5: Solve for x
    x = 70,426,385.19/6,381.60
  6. Step 6: Final answer
    x = 11,035.85

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.