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Finding the Third Proportional to 344.57 and 523.65

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Solution

The third proportional to 344.57 and 523.65 is: 795.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.57 : 523.65 = 523.65 : x
  2. Step 2: Convert to fraction form
    344.57/523.65 = 523.65/x
  3. Step 3: Cross multiply
    344.57x = 523.65 × 523.65
  4. Step 4: Simplify right side
    344.57x = 274,211.78
  5. Step 5: Solve for x
    x = 274,211.78/344.57
  6. Step 6: Final answer
    x = 795.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.