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Finding the Third Proportional to 869.96 and 1,912.20

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Solution

The third proportional to 869.96 and 1,912.20 is: 4,203.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.96 : 1,912.20 = 1,912.20 : x
  2. Step 2: Convert to fraction form
    869.96/1,912.20 = 1,912.20/x
  3. Step 3: Cross multiply
    869.96x = 1,912.20 × 1,912.20
  4. Step 4: Simplify right side
    869.96x = 3,656,513.32
  5. Step 5: Solve for x
    x = 3,656,513.32/869.96
  6. Step 6: Final answer
    x = 4,203.09

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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.