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Finding the Third Proportional to 2,727 and 5,685

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Solution

The third proportional to 2,727 and 5,685 is: 11,851.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727 : 5,685 = 5,685 : x
  2. Step 2: Convert to fraction form
    2,727/5,685 = 5,685/x
  3. Step 3: Cross multiply
    2,727x = 5,685 × 5,685
  4. Step 4: Simplify right side
    2,727x = 32,319,225
  5. Step 5: Solve for x
    x = 32,319,225/2,727
  6. Step 6: Final answer
    x = 11,851.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.