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Finding the Third Proportional to 247.69 and 353.81

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Solution

The third proportional to 247.69 and 353.81 is: 505.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.69 : 353.81 = 353.81 : x
  2. Step 2: Convert to fraction form
    247.69/353.81 = 353.81/x
  3. Step 3: Cross multiply
    247.69x = 353.81 × 353.81
  4. Step 4: Simplify right side
    247.69x = 125,183.29
  5. Step 5: Solve for x
    x = 125,183.29/247.69
  6. Step 6: Final answer
    x = 505.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.