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Finding the Third Proportional to 347.06 and 754.88

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Solution

The third proportional to 347.06 and 754.88 is: 1,641.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.06 : 754.88 = 754.88 : x
  2. Step 2: Convert to fraction form
    347.06/754.88 = 754.88/x
  3. Step 3: Cross multiply
    347.06x = 754.88 × 754.88
  4. Step 4: Simplify right side
    347.06x = 569,836.27
  5. Step 5: Solve for x
    x = 569,836.27/347.06
  6. Step 6: Final answer
    x = 1,641.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.