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Finding the Third Proportional to 6,402 and 13,691

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Solution

The third proportional to 6,402 and 13,691 is: 29,278.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402 : 13,691 = 13,691 : x
  2. Step 2: Convert to fraction form
    6,402/13,691 = 13,691/x
  3. Step 3: Cross multiply
    6,402x = 13,691 × 13,691
  4. Step 4: Simplify right side
    6,402x = 187,443,481
  5. Step 5: Solve for x
    x = 187,443,481/6,402
  6. Step 6: Final answer
    x = 29,278.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.