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Finding the Third Proportional to 5,382 and 10,917

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Solution

The third proportional to 5,382 and 10,917 is: 22,144.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382 : 10,917 = 10,917 : x
  2. Step 2: Convert to fraction form
    5,382/10,917 = 10,917/x
  3. Step 3: Cross multiply
    5,382x = 10,917 × 10,917
  4. Step 4: Simplify right side
    5,382x = 119,180,889
  5. Step 5: Solve for x
    x = 119,180,889/5,382
  6. Step 6: Final answer
    x = 22,144.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.