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Finding the Third Proportional to 323.81 and 698.81

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Solution

The third proportional to 323.81 and 698.81 is: 1,508.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.81 : 698.81 = 698.81 : x
  2. Step 2: Convert to fraction form
    323.81/698.81 = 698.81/x
  3. Step 3: Cross multiply
    323.81x = 698.81 × 698.81
  4. Step 4: Simplify right side
    323.81x = 488,338.91
  5. Step 5: Solve for x
    x = 488,338.91/323.81
  6. Step 6: Final answer
    x = 1,508.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.