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Finding the Third Proportional to 889.31 and 1,396.97

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Solution

The third proportional to 889.31 and 1,396.97 is: 2,194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.31 : 1,396.97 = 1,396.97 : x
  2. Step 2: Convert to fraction form
    889.31/1,396.97 = 1,396.97/x
  3. Step 3: Cross multiply
    889.31x = 1,396.97 × 1,396.97
  4. Step 4: Simplify right side
    889.31x = 1,951,521.69
  5. Step 5: Solve for x
    x = 1,951,521.69/889.31
  6. Step 6: Final answer
    x = 2,194.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.