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Finding the Third Proportional to 513.38 and 1,120.59

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Solution

The third proportional to 513.38 and 1,120.59 is: 2,446.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.38 : 1,120.59 = 1,120.59 : x
  2. Step 2: Convert to fraction form
    513.38/1,120.59 = 1,120.59/x
  3. Step 3: Cross multiply
    513.38x = 1,120.59 × 1,120.59
  4. Step 4: Simplify right side
    513.38x = 1,255,730.35
  5. Step 5: Solve for x
    x = 1,255,730.35/513.38
  6. Step 6: Final answer
    x = 2,446.03

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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.