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Finding the Third Proportional to 282.66 and 426.09

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Solution

The third proportional to 282.66 and 426.09 is: 642.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.66 : 426.09 = 426.09 : x
  2. Step 2: Convert to fraction form
    282.66/426.09 = 426.09/x
  3. Step 3: Cross multiply
    282.66x = 426.09 × 426.09
  4. Step 4: Simplify right side
    282.66x = 181,555.88
  5. Step 5: Solve for x
    x = 181,555.88/282.66
  6. Step 6: Final answer
    x = 642.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.