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Finding the Third Proportional to 493.73 and 1,027.97

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Solution

The third proportional to 493.73 and 1,027.97 is: 2,140.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.73 : 1,027.97 = 1,027.97 : x
  2. Step 2: Convert to fraction form
    493.73/1,027.97 = 1,027.97/x
  3. Step 3: Cross multiply
    493.73x = 1,027.97 × 1,027.97
  4. Step 4: Simplify right side
    493.73x = 1,056,719.75
  5. Step 5: Solve for x
    x = 1,056,719.75/493.73
  6. Step 6: Final answer
    x = 2,140.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.