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Finding the Third Proportional to 204.71 and 299.48

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Solution

The third proportional to 204.71 and 299.48 is: 438.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.71 : 299.48 = 299.48 : x
  2. Step 2: Convert to fraction form
    204.71/299.48 = 299.48/x
  3. Step 3: Cross multiply
    204.71x = 299.48 × 299.48
  4. Step 4: Simplify right side
    204.71x = 89,687.38
  5. Step 5: Solve for x
    x = 89,687.38/204.71
  6. Step 6: Final answer
    x = 438.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.