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Finding the Third Proportional to 5,180 and 7,864

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Solution

The third proportional to 5,180 and 7,864 is: 11,938.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180 : 7,864 = 7,864 : x
  2. Step 2: Convert to fraction form
    5,180/7,864 = 7,864/x
  3. Step 3: Cross multiply
    5,180x = 7,864 × 7,864
  4. Step 4: Simplify right side
    5,180x = 61,842,496
  5. Step 5: Solve for x
    x = 61,842,496/5,180
  6. Step 6: Final answer
    x = 11,938.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.