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Finding the Third Proportional to 8,229.09 and 10,695.80

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Solution

The third proportional to 8,229.09 and 10,695.80 is: 13,901.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.09 : 10,695.80 = 10,695.80 : x
  2. Step 2: Convert to fraction form
    8,229.09/10,695.80 = 10,695.80/x
  3. Step 3: Cross multiply
    8,229.09x = 10,695.80 × 10,695.80
  4. Step 4: Simplify right side
    8,229.09x = 114,400,070.79
  5. Step 5: Solve for x
    x = 114,400,070.79/8,229.09
  6. Step 6: Final answer
    x = 13,901.90

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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.