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Finding the Third Proportional to 255.44 and 383.16

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Solution

The third proportional to 255.44 and 383.16 is: 574.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.44 : 383.16 = 383.16 : x
  2. Step 2: Convert to fraction form
    255.44/383.16 = 383.16/x
  3. Step 3: Cross multiply
    255.44x = 383.16 × 383.16
  4. Step 4: Simplify right side
    255.44x = 146,809.40
  5. Step 5: Solve for x
    x = 146,809.40/255.44
  6. Step 6: Final answer
    x = 574.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.