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Finding the Third Proportional to 2,839 and 4,262

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Solution

The third proportional to 2,839 and 4,262 is: 6,398.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839 : 4,262 = 4,262 : x
  2. Step 2: Convert to fraction form
    2,839/4,262 = 4,262/x
  3. Step 3: Cross multiply
    2,839x = 4,262 × 4,262
  4. Step 4: Simplify right side
    2,839x = 18,164,644
  5. Step 5: Solve for x
    x = 18,164,644/2,839
  6. Step 6: Final answer
    x = 6,398.25

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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.