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Finding the Third Proportional to 3,092 and 5,738

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Solution

The third proportional to 3,092 and 5,738 is: 10,648.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092 : 5,738 = 5,738 : x
  2. Step 2: Convert to fraction form
    3,092/5,738 = 5,738/x
  3. Step 3: Cross multiply
    3,092x = 5,738 × 5,738
  4. Step 4: Simplify right side
    3,092x = 32,924,644
  5. Step 5: Solve for x
    x = 32,924,644/3,092
  6. Step 6: Final answer
    x = 10,648.33

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.