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Finding the Third Proportional to 5,286.38 and 7,121.81

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Solution

The third proportional to 5,286.38 and 7,121.81 is: 9,594.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.38 : 7,121.81 = 7,121.81 : x
  2. Step 2: Convert to fraction form
    5,286.38/7,121.81 = 7,121.81/x
  3. Step 3: Cross multiply
    5,286.38x = 7,121.81 × 7,121.81
  4. Step 4: Simplify right side
    5,286.38x = 50,720,213.29
  5. Step 5: Solve for x
    x = 50,720,213.29/5,286.38
  6. Step 6: Final answer
    x = 9,594.52

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.