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Finding the Third Proportional to 282.80 and 378.28

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Solution

The third proportional to 282.80 and 378.28 is: 506.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.80 : 378.28 = 378.28 : x
  2. Step 2: Convert to fraction form
    282.80/378.28 = 378.28/x
  3. Step 3: Cross multiply
    282.80x = 378.28 × 378.28
  4. Step 4: Simplify right side
    282.80x = 143,096.70
  5. Step 5: Solve for x
    x = 143,096.70/282.80
  6. Step 6: Final answer
    x = 506.01

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.