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Finding the Third Proportional to 8,638 and 9,934

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Solution

The third proportional to 8,638 and 9,934 is: 11,424.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638 : 9,934 = 9,934 : x
  2. Step 2: Convert to fraction form
    8,638/9,934 = 9,934/x
  3. Step 3: Cross multiply
    8,638x = 9,934 × 9,934
  4. Step 4: Simplify right side
    8,638x = 98,684,356
  5. Step 5: Solve for x
    x = 98,684,356/8,638
  6. Step 6: Final answer
    x = 11,424.45

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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.