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Finding the Third Proportional to 5,867.44 and 7,744.78

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Solution

The third proportional to 5,867.44 and 7,744.78 is: 10,222.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.44 : 7,744.78 = 7,744.78 : x
  2. Step 2: Convert to fraction form
    5,867.44/7,744.78 = 7,744.78/x
  3. Step 3: Cross multiply
    5,867.44x = 7,744.78 × 7,744.78
  4. Step 4: Simplify right side
    5,867.44x = 59,981,636.61
  5. Step 5: Solve for x
    x = 59,981,636.61/5,867.44
  6. Step 6: Final answer
    x = 10,222.80

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.