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Finding the Third Proportional to 1,909.69 and 4,202.44

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Solution

The third proportional to 1,909.69 and 4,202.44 is: 9,247.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.69 : 4,202.44 = 4,202.44 : x
  2. Step 2: Convert to fraction form
    1,909.69/4,202.44 = 4,202.44/x
  3. Step 3: Cross multiply
    1,909.69x = 4,202.44 × 4,202.44
  4. Step 4: Simplify right side
    1,909.69x = 17,660,480.94
  5. Step 5: Solve for x
    x = 17,660,480.94/1,909.69
  6. Step 6: Final answer
    x = 9,247.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.