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Finding the Third Proportional to 10,900 and 15,349

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Solution

The third proportional to 10,900 and 15,349 is: 21,613.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900 : 15,349 = 15,349 : x
  2. Step 2: Convert to fraction form
    10,900/15,349 = 15,349/x
  3. Step 3: Cross multiply
    10,900x = 15,349 × 15,349
  4. Step 4: Simplify right side
    10,900x = 235,591,801
  5. Step 5: Solve for x
    x = 235,591,801/10,900
  6. Step 6: Final answer
    x = 21,613.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.