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Finding the Third Proportional to 273.94 and 553.22

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Solution

The third proportional to 273.94 and 553.22 is: 1,117.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.94 : 553.22 = 553.22 : x
  2. Step 2: Convert to fraction form
    273.94/553.22 = 553.22/x
  3. Step 3: Cross multiply
    273.94x = 553.22 × 553.22
  4. Step 4: Simplify right side
    273.94x = 306,050.99
  5. Step 5: Solve for x
    x = 306,050.99/273.94
  6. Step 6: Final answer
    x = 1,117.23

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.