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Finding the Third Proportional to 553.71 and 868.22

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Solution

The third proportional to 553.71 and 868.22 is: 1,361.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.71 : 868.22 = 868.22 : x
  2. Step 2: Convert to fraction form
    553.71/868.22 = 868.22/x
  3. Step 3: Cross multiply
    553.71x = 868.22 × 868.22
  4. Step 4: Simplify right side
    553.71x = 753,803.80
  5. Step 5: Solve for x
    x = 753,803.80/553.71
  6. Step 6: Final answer
    x = 1,361.37

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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.