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Finding the Third Proportional to 3,708.28 and 5,422.78

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Solution

The third proportional to 3,708.28 and 5,422.78 is: 7,929.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.28 : 5,422.78 = 5,422.78 : x
  2. Step 2: Convert to fraction form
    3,708.28/5,422.78 = 5,422.78/x
  3. Step 3: Cross multiply
    3,708.28x = 5,422.78 × 5,422.78
  4. Step 4: Simplify right side
    3,708.28x = 29,406,556.49
  5. Step 5: Solve for x
    x = 29,406,556.49/3,708.28
  6. Step 6: Final answer
    x = 7,929.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.