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Finding the Third Proportional to 3,909.80 and 5,727.94

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Solution

The third proportional to 3,909.80 and 5,727.94 is: 8,391.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.80 : 5,727.94 = 5,727.94 : x
  2. Step 2: Convert to fraction form
    3,909.80/5,727.94 = 5,727.94/x
  3. Step 3: Cross multiply
    3,909.80x = 5,727.94 × 5,727.94
  4. Step 4: Simplify right side
    3,909.80x = 32,809,268.00
  5. Step 5: Solve for x
    x = 32,809,268.00/3,909.80
  6. Step 6: Final answer
    x = 8,391.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.