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Finding the Third Proportional to 3,212 and 5,664

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Solution

The third proportional to 3,212 and 5,664 is: 9,987.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212 : 5,664 = 5,664 : x
  2. Step 2: Convert to fraction form
    3,212/5,664 = 5,664/x
  3. Step 3: Cross multiply
    3,212x = 5,664 × 5,664
  4. Step 4: Simplify right side
    3,212x = 32,080,896
  5. Step 5: Solve for x
    x = 32,080,896/3,212
  6. Step 6: Final answer
    x = 9,987.83

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.