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Finding the Third Proportional to 256.75 and 384.25

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Solution

The third proportional to 256.75 and 384.25 is: 575.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.75 : 384.25 = 384.25 : x
  2. Step 2: Convert to fraction form
    256.75/384.25 = 384.25/x
  3. Step 3: Cross multiply
    256.75x = 384.25 × 384.25
  4. Step 4: Simplify right side
    256.75x = 147,648.06
  5. Step 5: Solve for x
    x = 147,648.06/256.75
  6. Step 6: Final answer
    x = 575.07

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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.