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Finding the Third Proportional to 347.06 and 742.69

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Solution

The third proportional to 347.06 and 742.69 is: 1,589.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.06 : 742.69 = 742.69 : x
  2. Step 2: Convert to fraction form
    347.06/742.69 = 742.69/x
  3. Step 3: Cross multiply
    347.06x = 742.69 × 742.69
  4. Step 4: Simplify right side
    347.06x = 551,584.72
  5. Step 5: Solve for x
    x = 551,584.72/347.06
  6. Step 6: Final answer
    x = 1,589.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.