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Finding the Third Proportional to 553.13 and 1,272.56

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Solution

The third proportional to 553.13 and 1,272.56 is: 2,927.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.13 : 1,272.56 = 1,272.56 : x
  2. Step 2: Convert to fraction form
    553.13/1,272.56 = 1,272.56/x
  3. Step 3: Cross multiply
    553.13x = 1,272.56 × 1,272.56
  4. Step 4: Simplify right side
    553.13x = 1,619,415.32
  5. Step 5: Solve for x
    x = 1,619,415.32/553.13
  6. Step 6: Final answer
    x = 2,927.76

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.