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Finding the Third Proportional to 338.93 and 742.71

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Solution

The third proportional to 338.93 and 742.71 is: 1,627.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.93 : 742.71 = 742.71 : x
  2. Step 2: Convert to fraction form
    338.93/742.71 = 742.71/x
  3. Step 3: Cross multiply
    338.93x = 742.71 × 742.71
  4. Step 4: Simplify right side
    338.93x = 551,619.54
  5. Step 5: Solve for x
    x = 551,619.54/338.93
  6. Step 6: Final answer
    x = 1,627.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.