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Finding the Third Proportional to 2,727 and 6,438.66

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Solution

The third proportional to 2,727 and 6,438.66 is: 15,202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727 : 6,438.66 = 6,438.66 : x
  2. Step 2: Convert to fraction form
    2,727/6,438.66 = 6,438.66/x
  3. Step 3: Cross multiply
    2,727x = 6,438.66 × 6,438.66
  4. Step 4: Simplify right side
    2,727x = 41,456,294.31
  5. Step 5: Solve for x
    x = 41,456,294.31/2,727
  6. Step 6: Final answer
    x = 15,202.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.