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Finding the Third Proportional to 398.81 and 845.91

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Solution

The third proportional to 398.81 and 845.91 is: 1,794.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.81 : 845.91 = 845.91 : x
  2. Step 2: Convert to fraction form
    398.81/845.91 = 845.91/x
  3. Step 3: Cross multiply
    398.81x = 845.91 × 845.91
  4. Step 4: Simplify right side
    398.81x = 715,557.38
  5. Step 5: Solve for x
    x = 715,557.38/398.81
  6. Step 6: Final answer
    x = 1,794.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.