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Finding the Third Proportional to 3,422 and 5,440

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Solution

The third proportional to 3,422 and 5,440 is: 8,648.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422 : 5,440 = 5,440 : x
  2. Step 2: Convert to fraction form
    3,422/5,440 = 5,440/x
  3. Step 3: Cross multiply
    3,422x = 5,440 × 5,440
  4. Step 4: Simplify right side
    3,422x = 29,593,600
  5. Step 5: Solve for x
    x = 29,593,600/3,422
  6. Step 6: Final answer
    x = 8,648.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.