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Finding the Third Proportional to 286.25 and 625.38

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Solution

The third proportional to 286.25 and 625.38 is: 1,366.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.25 : 625.38 = 625.38 : x
  2. Step 2: Convert to fraction form
    286.25/625.38 = 625.38/x
  3. Step 3: Cross multiply
    286.25x = 625.38 × 625.38
  4. Step 4: Simplify right side
    286.25x = 391,093.89
  5. Step 5: Solve for x
    x = 391,093.89/286.25
  6. Step 6: Final answer
    x = 1,366.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.