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Finding the Third Proportional to 519.43 and 1,120.39

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Solution

The third proportional to 519.43 and 1,120.39 is: 2,416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.43 : 1,120.39 = 1,120.39 : x
  2. Step 2: Convert to fraction form
    519.43/1,120.39 = 1,120.39/x
  3. Step 3: Cross multiply
    519.43x = 1,120.39 × 1,120.39
  4. Step 4: Simplify right side
    519.43x = 1,255,283.91
  5. Step 5: Solve for x
    x = 1,255,283.91/519.43
  6. Step 6: Final answer
    x = 2,416.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.