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Finding the Third Proportional to 9,586 and 11,098

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Solution

The third proportional to 9,586 and 11,098 is: 12,848.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586 : 11,098 = 11,098 : x
  2. Step 2: Convert to fraction form
    9,586/11,098 = 11,098/x
  3. Step 3: Cross multiply
    9,586x = 11,098 × 11,098
  4. Step 4: Simplify right side
    9,586x = 123,165,604
  5. Step 5: Solve for x
    x = 123,165,604/9,586
  6. Step 6: Final answer
    x = 12,848.49

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.