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Finding the Third Proportional to 11,670 and 13,398

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Solution

The third proportional to 11,670 and 13,398 is: 15,381.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670 : 13,398 = 13,398 : x
  2. Step 2: Convert to fraction form
    11,670/13,398 = 13,398/x
  3. Step 3: Cross multiply
    11,670x = 13,398 × 13,398
  4. Step 4: Simplify right side
    11,670x = 179,506,404
  5. Step 5: Solve for x
    x = 179,506,404/11,670
  6. Step 6: Final answer
    x = 15,381.87

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.