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Finding the Third Proportional to 512.94 and 1,128.44

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Solution

The third proportional to 512.94 and 1,128.44 is: 2,482.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.94 : 1,128.44 = 1,128.44 : x
  2. Step 2: Convert to fraction form
    512.94/1,128.44 = 1,128.44/x
  3. Step 3: Cross multiply
    512.94x = 1,128.44 × 1,128.44
  4. Step 4: Simplify right side
    512.94x = 1,273,371.19
  5. Step 5: Solve for x
    x = 1,273,371.19/512.94
  6. Step 6: Final answer
    x = 2,482.51

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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.