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Finding the Third Proportional to 493.13 and 742.31

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Solution

The third proportional to 493.13 and 742.31 is: 1,117.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.13 : 742.31 = 742.31 : x
  2. Step 2: Convert to fraction form
    493.13/742.31 = 742.31/x
  3. Step 3: Cross multiply
    493.13x = 742.31 × 742.31
  4. Step 4: Simplify right side
    493.13x = 551,027.85
  5. Step 5: Solve for x
    x = 551,027.85/493.13
  6. Step 6: Final answer
    x = 1,117.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.