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Finding the Third Proportional to 371.62 and 553.16

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Solution

The third proportional to 371.62 and 553.16 is: 823.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.62 : 553.16 = 553.16 : x
  2. Step 2: Convert to fraction form
    371.62/553.16 = 553.16/x
  3. Step 3: Cross multiply
    371.62x = 553.16 × 553.16
  4. Step 4: Simplify right side
    371.62x = 305,982.92
  5. Step 5: Solve for x
    x = 305,982.92/371.62
  6. Step 6: Final answer
    x = 823.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.