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Finding the Third Proportional to 518.31 and 1,120.19

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Solution

The third proportional to 518.31 and 1,120.19 is: 2,420.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.31 : 1,120.19 = 1,120.19 : x
  2. Step 2: Convert to fraction form
    518.31/1,120.19 = 1,120.19/x
  3. Step 3: Cross multiply
    518.31x = 1,120.19 × 1,120.19
  4. Step 4: Simplify right side
    518.31x = 1,254,820.04
  5. Step 5: Solve for x
    x = 1,254,820.04/518.31
  6. Step 6: Final answer
    x = 2,420.97

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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.