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Finding the Third Proportional to 286 and 428.38

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Solution

The third proportional to 286 and 428.38 is: 641.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    286 : 428.38 = 428.38 : x
  2. Step 2: Convert to fraction form
    286/428.38 = 428.38/x
  3. Step 3: Cross multiply
    286x = 428.38 × 428.38
  4. Step 4: Simplify right side
    286x = 183,505.14
  5. Step 5: Solve for x
    x = 183,505.14/286
  6. Step 6: Final answer
    x = 641.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.