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Finding the Third Proportional to 6,402 and 13,251

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Solution

The third proportional to 6,402 and 13,251 is: 27,427.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402 : 13,251 = 13,251 : x
  2. Step 2: Convert to fraction form
    6,402/13,251 = 13,251/x
  3. Step 3: Cross multiply
    6,402x = 13,251 × 13,251
  4. Step 4: Simplify right side
    6,402x = 175,589,001
  5. Step 5: Solve for x
    x = 175,589,001/6,402
  6. Step 6: Final answer
    x = 27,427.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.