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Finding the Third Proportional to 1,229.81 and 2,709.19

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Solution

The third proportional to 1,229.81 and 2,709.19 is: 5,968.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.81 : 2,709.19 = 2,709.19 : x
  2. Step 2: Convert to fraction form
    1,229.81/2,709.19 = 2,709.19/x
  3. Step 3: Cross multiply
    1,229.81x = 2,709.19 × 2,709.19
  4. Step 4: Simplify right side
    1,229.81x = 7,339,696.91
  5. Step 5: Solve for x
    x = 7,339,696.91/1,229.81
  6. Step 6: Final answer
    x = 5,968.14

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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.