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Finding the Third Proportional to 2,169 and 2,397

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Solution

The third proportional to 2,169 and 2,397 is: 2,648.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169 : 2,397 = 2,397 : x
  2. Step 2: Convert to fraction form
    2,169/2,397 = 2,397/x
  3. Step 3: Cross multiply
    2,169x = 2,397 × 2,397
  4. Step 4: Simplify right side
    2,169x = 5,745,609
  5. Step 5: Solve for x
    x = 5,745,609/2,169
  6. Step 6: Final answer
    x = 2,648.97

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.