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Finding the Third Proportional to 1,245.38 and 2,720.46

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Solution

The third proportional to 1,245.38 and 2,720.46 is: 5,942.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.38 : 2,720.46 = 2,720.46 : x
  2. Step 2: Convert to fraction form
    1,245.38/2,720.46 = 2,720.46/x
  3. Step 3: Cross multiply
    1,245.38x = 2,720.46 × 2,720.46
  4. Step 4: Simplify right side
    1,245.38x = 7,400,907.71
  5. Step 5: Solve for x
    x = 7,400,907.71/1,245.38
  6. Step 6: Final answer
    x = 5,942.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.