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Finding the Third Proportional to 342.56 and 742.79

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Solution

The third proportional to 342.56 and 742.79 is: 1,610.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.56 : 742.79 = 742.79 : x
  2. Step 2: Convert to fraction form
    342.56/742.79 = 742.79/x
  3. Step 3: Cross multiply
    342.56x = 742.79 × 742.79
  4. Step 4: Simplify right side
    342.56x = 551,737.04
  5. Step 5: Solve for x
    x = 551,737.04/342.56
  6. Step 6: Final answer
    x = 1,610.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.