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Finding the Third Proportional to 347.38 and 738.88

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Solution

The third proportional to 347.38 and 738.88 is: 1,571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.38 : 738.88 = 738.88 : x
  2. Step 2: Convert to fraction form
    347.38/738.88 = 738.88/x
  3. Step 3: Cross multiply
    347.38x = 738.88 × 738.88
  4. Step 4: Simplify right side
    347.38x = 545,936.27
  5. Step 5: Solve for x
    x = 545,936.27/347.38
  6. Step 6: Final answer
    x = 1,571.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.