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Finding the Third Proportional to 281.81 and 402.19

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Solution

The third proportional to 281.81 and 402.19 is: 573.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.81 : 402.19 = 402.19 : x
  2. Step 2: Convert to fraction form
    281.81/402.19 = 402.19/x
  3. Step 3: Cross multiply
    281.81x = 402.19 × 402.19
  4. Step 4: Simplify right side
    281.81x = 161,754.79
  5. Step 5: Solve for x
    x = 161,754.79/281.81
  6. Step 6: Final answer
    x = 573.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.