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Finding the Third Proportional to 255.78 and 393.66

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Solution

The third proportional to 255.78 and 393.66 is: 605.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.78 : 393.66 = 393.66 : x
  2. Step 2: Convert to fraction form
    255.78/393.66 = 393.66/x
  3. Step 3: Cross multiply
    255.78x = 393.66 × 393.66
  4. Step 4: Simplify right side
    255.78x = 154,965.24
  5. Step 5: Solve for x
    x = 154,965.24/255.78
  6. Step 6: Final answer
    x = 605.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.