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Finding the Third Proportional to 255.73 and 559.97

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Solution

The third proportional to 255.73 and 559.97 is: 1,226.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.73 : 559.97 = 559.97 : x
  2. Step 2: Convert to fraction form
    255.73/559.97 = 559.97/x
  3. Step 3: Cross multiply
    255.73x = 559.97 × 559.97
  4. Step 4: Simplify right side
    255.73x = 313,565.00
  5. Step 5: Solve for x
    x = 313,565.00/255.73
  6. Step 6: Final answer
    x = 1,226.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.