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Finding the Third Proportional to 3,219 and 4,320

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Solution

The third proportional to 3,219 and 4,320 is: 5,797.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219 : 4,320 = 4,320 : x
  2. Step 2: Convert to fraction form
    3,219/4,320 = 4,320/x
  3. Step 3: Cross multiply
    3,219x = 4,320 × 4,320
  4. Step 4: Simplify right side
    3,219x = 18,662,400
  5. Step 5: Solve for x
    x = 18,662,400/3,219
  6. Step 6: Final answer
    x = 5,797.58

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.