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Finding the Third Proportional to 256.50 and 356.63

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Solution

The third proportional to 256.50 and 356.63 is: 495.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.50 : 356.63 = 356.63 : x
  2. Step 2: Convert to fraction form
    256.50/356.63 = 356.63/x
  3. Step 3: Cross multiply
    256.50x = 356.63 × 356.63
  4. Step 4: Simplify right side
    256.50x = 127,181.39
  5. Step 5: Solve for x
    x = 127,181.39/256.50
  6. Step 6: Final answer
    x = 495.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.