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Finding the Third Proportional to 398.81 and 582.47

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Solution

The third proportional to 398.81 and 582.47 is: 850.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.81 : 582.47 = 582.47 : x
  2. Step 2: Convert to fraction form
    398.81/582.47 = 582.47/x
  3. Step 3: Cross multiply
    398.81x = 582.47 × 582.47
  4. Step 4: Simplify right side
    398.81x = 339,269.84
  5. Step 5: Solve for x
    x = 339,269.84/398.81
  6. Step 6: Final answer
    x = 850.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.