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Finding the Third Proportional to 254.75 and 380.31

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Solution

The third proportional to 254.75 and 380.31 is: 567.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.75 : 380.31 = 380.31 : x
  2. Step 2: Convert to fraction form
    254.75/380.31 = 380.31/x
  3. Step 3: Cross multiply
    254.75x = 380.31 × 380.31
  4. Step 4: Simplify right side
    254.75x = 144,637.60
  5. Step 5: Solve for x
    x = 144,637.60/254.75
  6. Step 6: Final answer
    x = 567.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.