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Finding the Third Proportional to 3,909.52 and 8,364.52

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Solution

The third proportional to 3,909.52 and 8,364.52 is: 17,896.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.52 : 8,364.52 = 8,364.52 : x
  2. Step 2: Convert to fraction form
    3,909.52/8,364.52 = 8,364.52/x
  3. Step 3: Cross multiply
    3,909.52x = 8,364.52 × 8,364.52
  4. Step 4: Simplify right side
    3,909.52x = 69,965,121.64
  5. Step 5: Solve for x
    x = 69,965,121.64/3,909.52
  6. Step 6: Final answer
    x = 17,896.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.