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Finding the Third Proportional to 282.87 and 452.78

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Solution

The third proportional to 282.87 and 452.78 is: 724.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.87 : 452.78 = 452.78 : x
  2. Step 2: Convert to fraction form
    282.87/452.78 = 452.78/x
  3. Step 3: Cross multiply
    282.87x = 452.78 × 452.78
  4. Step 4: Simplify right side
    282.87x = 205,007.32
  5. Step 5: Solve for x
    x = 205,007.32/282.87
  6. Step 6: Final answer
    x = 724.75

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.