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Finding the Third Proportional to 3,189.38 and 7,009.13

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Solution

The third proportional to 3,189.38 and 7,009.13 is: 15,403.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.38 : 7,009.13 = 7,009.13 : x
  2. Step 2: Convert to fraction form
    3,189.38/7,009.13 = 7,009.13/x
  3. Step 3: Cross multiply
    3,189.38x = 7,009.13 × 7,009.13
  4. Step 4: Simplify right side
    3,189.38x = 49,127,833.27
  5. Step 5: Solve for x
    x = 49,127,833.27/3,189.38
  6. Step 6: Final answer
    x = 15,403.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.