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Finding the Third Proportional to 1,126.97 and 2,458.78

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Solution

The third proportional to 1,126.97 and 2,458.78 is: 5,364.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.97 : 2,458.78 = 2,458.78 : x
  2. Step 2: Convert to fraction form
    1,126.97/2,458.78 = 2,458.78/x
  3. Step 3: Cross multiply
    1,126.97x = 2,458.78 × 2,458.78
  4. Step 4: Simplify right side
    1,126.97x = 6,045,605.24
  5. Step 5: Solve for x
    x = 6,045,605.24/1,126.97
  6. Step 6: Final answer
    x = 5,364.48

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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.