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Finding the Third Proportional to 1,438 and 3,421

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Solution

The third proportional to 1,438 and 3,421 is: 8,138.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438 : 3,421 = 3,421 : x
  2. Step 2: Convert to fraction form
    1,438/3,421 = 3,421/x
  3. Step 3: Cross multiply
    1,438x = 3,421 × 3,421
  4. Step 4: Simplify right side
    1,438x = 11,703,241
  5. Step 5: Solve for x
    x = 11,703,241/1,438
  6. Step 6: Final answer
    x = 8,138.55

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.