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Finding the Third Proportional to 256 and 656.50

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Solution

The third proportional to 256 and 656.50 is: 1,683.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256 : 656.50 = 656.50 : x
  2. Step 2: Convert to fraction form
    256/656.50 = 656.50/x
  3. Step 3: Cross multiply
    256x = 656.50 × 656.50
  4. Step 4: Simplify right side
    256x = 430,992.25
  5. Step 5: Solve for x
    x = 430,992.25/256
  6. Step 6: Final answer
    x = 1,683.56

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.