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Finding the Third Proportional to 204.53 and 276.84

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Solution

The third proportional to 204.53 and 276.84 is: 374.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.53 : 276.84 = 276.84 : x
  2. Step 2: Convert to fraction form
    204.53/276.84 = 276.84/x
  3. Step 3: Cross multiply
    204.53x = 276.84 × 276.84
  4. Step 4: Simplify right side
    204.53x = 76,642.46
  5. Step 5: Solve for x
    x = 76,642.46/204.53
  6. Step 6: Final answer
    x = 374.72

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.