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Finding the Third Proportional to 281.39 and 419.16

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Solution

The third proportional to 281.39 and 419.16 is: 624.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.39 : 419.16 = 419.16 : x
  2. Step 2: Convert to fraction form
    281.39/419.16 = 419.16/x
  3. Step 3: Cross multiply
    281.39x = 419.16 × 419.16
  4. Step 4: Simplify right side
    281.39x = 175,691.96
  5. Step 5: Solve for x
    x = 175,691.96/281.39
  6. Step 6: Final answer
    x = 624.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.