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Finding the Third Proportional to 1,861.97 and 3,877.03

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Solution

The third proportional to 1,861.97 and 3,877.03 is: 8,072.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.97 : 3,877.03 = 3,877.03 : x
  2. Step 2: Convert to fraction form
    1,861.97/3,877.03 = 3,877.03/x
  3. Step 3: Cross multiply
    1,861.97x = 3,877.03 × 3,877.03
  4. Step 4: Simplify right side
    1,861.97x = 15,031,371.31
  5. Step 5: Solve for x
    x = 15,031,371.31/1,861.97
  6. Step 6: Final answer
    x = 8,072.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.