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Finding the Third Proportional to 3,780.42 and 8,316.42

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Solution

The third proportional to 3,780.42 and 8,316.42 is: 18,295.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.42 : 8,316.42 = 8,316.42 : x
  2. Step 2: Convert to fraction form
    3,780.42/8,316.42 = 8,316.42/x
  3. Step 3: Cross multiply
    3,780.42x = 8,316.42 × 8,316.42
  4. Step 4: Simplify right side
    3,780.42x = 69,162,872.80
  5. Step 5: Solve for x
    x = 69,162,872.80/3,780.42
  6. Step 6: Final answer
    x = 18,295.01

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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.