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Finding the Third Proportional to 2,890.69 and 6,171.19

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Solution

The third proportional to 2,890.69 and 6,171.19 is: 13,174.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.69 : 6,171.19 = 6,171.19 : x
  2. Step 2: Convert to fraction form
    2,890.69/6,171.19 = 6,171.19/x
  3. Step 3: Cross multiply
    2,890.69x = 6,171.19 × 6,171.19
  4. Step 4: Simplify right side
    2,890.69x = 38,083,555.16
  5. Step 5: Solve for x
    x = 38,083,555.16/2,890.69
  6. Step 6: Final answer
    x = 13,174.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.