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Finding the Third Proportional to 6,409.13 and 8,326.55

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Solution

The third proportional to 6,409.13 and 8,326.55 is: 10,817.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.13 : 8,326.55 = 8,326.55 : x
  2. Step 2: Convert to fraction form
    6,409.13/8,326.55 = 8,326.55/x
  3. Step 3: Cross multiply
    6,409.13x = 8,326.55 × 8,326.55
  4. Step 4: Simplify right side
    6,409.13x = 69,331,382.86
  5. Step 5: Solve for x
    x = 69,331,382.86/6,409.13
  6. Step 6: Final answer
    x = 10,817.61

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.