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Finding the Third Proportional to 282.63 and 425.72

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Solution

The third proportional to 282.63 and 425.72 is: 641.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.63 : 425.72 = 425.72 : x
  2. Step 2: Convert to fraction form
    282.63/425.72 = 425.72/x
  3. Step 3: Cross multiply
    282.63x = 425.72 × 425.72
  4. Step 4: Simplify right side
    282.63x = 181,241.44
  5. Step 5: Solve for x
    x = 181,241.44/282.63
  6. Step 6: Final answer
    x = 641.27

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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.