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Finding the Third Proportional to 7,399 and 11,489

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Solution

The third proportional to 7,399 and 11,489 is: 17,839.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,399 : 11,489 = 11,489 : x
  2. Step 2: Convert to fraction form
    7,399/11,489 = 11,489/x
  3. Step 3: Cross multiply
    7,399x = 11,489 × 11,489
  4. Step 4: Simplify right side
    7,399x = 131,997,121
  5. Step 5: Solve for x
    x = 131,997,121/7,399
  6. Step 6: Final answer
    x = 17,839.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.