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Finding the Third Proportional to 609.44 and 868.56

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Solution

The third proportional to 609.44 and 868.56 is: 1,237.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.44 : 868.56 = 868.56 : x
  2. Step 2: Convert to fraction form
    609.44/868.56 = 868.56/x
  3. Step 3: Cross multiply
    609.44x = 868.56 × 868.56
  4. Step 4: Simplify right side
    609.44x = 754,400.82
  5. Step 5: Solve for x
    x = 754,400.82/609.44
  6. Step 6: Final answer
    x = 1,237.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.