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Finding the Third Proportional to 344.67 and 498.66

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Solution

The third proportional to 344.67 and 498.66 is: 721.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.67 : 498.66 = 498.66 : x
  2. Step 2: Convert to fraction form
    344.67/498.66 = 498.66/x
  3. Step 3: Cross multiply
    344.67x = 498.66 × 498.66
  4. Step 4: Simplify right side
    344.67x = 248,658.06
  5. Step 5: Solve for x
    x = 248,658.06/344.67
  6. Step 6: Final answer
    x = 721.43

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.