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Finding the Third Proportional to 9,638 and 14,919

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Solution

The third proportional to 9,638 and 14,919 is: 23,093.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638 : 14,919 = 14,919 : x
  2. Step 2: Convert to fraction form
    9,638/14,919 = 14,919/x
  3. Step 3: Cross multiply
    9,638x = 14,919 × 14,919
  4. Step 4: Simplify right side
    9,638x = 222,576,561
  5. Step 5: Solve for x
    x = 222,576,561/9,638
  6. Step 6: Final answer
    x = 23,093.65

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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.