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Finding the Third Proportional to 398.75 and 845.81

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Solution

The third proportional to 398.75 and 845.81 is: 1,794.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.75 : 845.81 = 845.81 : x
  2. Step 2: Convert to fraction form
    398.75/845.81 = 845.81/x
  3. Step 3: Cross multiply
    398.75x = 845.81 × 845.81
  4. Step 4: Simplify right side
    398.75x = 715,398.79
  5. Step 5: Solve for x
    x = 715,398.79/398.75
  6. Step 6: Final answer
    x = 1,794.10

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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.