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Finding the Third Proportional to 277.78 and 564.56

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Solution

The third proportional to 277.78 and 564.56 is: 1,147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.78 : 564.56 = 564.56 : x
  2. Step 2: Convert to fraction form
    277.78/564.56 = 564.56/x
  3. Step 3: Cross multiply
    277.78x = 564.56 × 564.56
  4. Step 4: Simplify right side
    277.78x = 318,730.82
  5. Step 5: Solve for x
    x = 318,730.82/277.78
  6. Step 6: Final answer
    x = 1,147.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.