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Finding the Third Proportional to 254.15 and 559.56

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Solution

The third proportional to 254.15 and 559.56 is: 1,231.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.15 : 559.56 = 559.56 : x
  2. Step 2: Convert to fraction form
    254.15/559.56 = 559.56/x
  3. Step 3: Cross multiply
    254.15x = 559.56 × 559.56
  4. Step 4: Simplify right side
    254.15x = 313,112.38
  5. Step 5: Solve for x
    x = 313,112.38/254.15
  6. Step 6: Final answer
    x = 1,231.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.