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Finding the Third Proportional to 3,221.72 and 4,743.84

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Solution

The third proportional to 3,221.72 and 4,743.84 is: 6,985.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.72 : 4,743.84 = 4,743.84 : x
  2. Step 2: Convert to fraction form
    3,221.72/4,743.84 = 4,743.84/x
  3. Step 3: Cross multiply
    3,221.72x = 4,743.84 × 4,743.84
  4. Step 4: Simplify right side
    3,221.72x = 22,504,053.52
  5. Step 5: Solve for x
    x = 22,504,053.52/3,221.72
  6. Step 6: Final answer
    x = 6,985.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.