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Finding the Third Proportional to 4,221.07 and 5,494.29

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Solution

The third proportional to 4,221.07 and 5,494.29 is: 7,151.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.07 : 5,494.29 = 5,494.29 : x
  2. Step 2: Convert to fraction form
    4,221.07/5,494.29 = 5,494.29/x
  3. Step 3: Cross multiply
    4,221.07x = 5,494.29 × 5,494.29
  4. Step 4: Simplify right side
    4,221.07x = 30,187,212.30
  5. Step 5: Solve for x
    x = 30,187,212.30/4,221.07
  6. Step 6: Final answer
    x = 7,151.55

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.