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Finding the Third Proportional to 2,142 and 5,241

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Solution

The third proportional to 2,142 and 5,241 is: 12,823.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142 : 5,241 = 5,241 : x
  2. Step 2: Convert to fraction form
    2,142/5,241 = 5,241/x
  3. Step 3: Cross multiply
    2,142x = 5,241 × 5,241
  4. Step 4: Simplify right side
    2,142x = 27,468,081
  5. Step 5: Solve for x
    x = 27,468,081/2,142
  6. Step 6: Final answer
    x = 12,823.57

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.