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Finding the Third Proportional to 1,865.21 and 3,909.83

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Solution

The third proportional to 1,865.21 and 3,909.83 is: 8,195.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.21 : 3,909.83 = 3,909.83 : x
  2. Step 2: Convert to fraction form
    1,865.21/3,909.83 = 3,909.83/x
  3. Step 3: Cross multiply
    1,865.21x = 3,909.83 × 3,909.83
  4. Step 4: Simplify right side
    1,865.21x = 15,286,786.51
  5. Step 5: Solve for x
    x = 15,286,786.51/1,865.21
  6. Step 6: Final answer
    x = 8,195.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.