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Finding the Third Proportional to 342.59 and 742.94

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Solution

The third proportional to 342.59 and 742.94 is: 1,611.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.59 : 742.94 = 742.94 : x
  2. Step 2: Convert to fraction form
    342.59/742.94 = 742.94/x
  3. Step 3: Cross multiply
    342.59x = 742.94 × 742.94
  4. Step 4: Simplify right side
    342.59x = 551,956.13
  5. Step 5: Solve for x
    x = 551,956.13/342.59
  6. Step 6: Final answer
    x = 1,611.11

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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.