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Finding the Third Proportional to 518.75 and 763.38

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Solution

The third proportional to 518.75 and 763.38 is: 1,123.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.75 : 763.38 = 763.38 : x
  2. Step 2: Convert to fraction form
    518.75/763.38 = 763.38/x
  3. Step 3: Cross multiply
    518.75x = 763.38 × 763.38
  4. Step 4: Simplify right side
    518.75x = 582,741.39
  5. Step 5: Solve for x
    x = 582,741.39/518.75
  6. Step 6: Final answer
    x = 1,123.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.