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Finding the Third Proportional to 5,952.23 and 13,839.61

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Solution

The third proportional to 5,952.23 and 13,839.61 is: 32,178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.23 : 13,839.61 = 13,839.61 : x
  2. Step 2: Convert to fraction form
    5,952.23/13,839.61 = 13,839.61/x
  3. Step 3: Cross multiply
    5,952.23x = 13,839.61 × 13,839.61
  4. Step 4: Simplify right side
    5,952.23x = 191,534,787.65
  5. Step 5: Solve for x
    x = 191,534,787.65/5,952.23
  6. Step 6: Final answer
    x = 32,178.64

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.