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Finding the Third Proportional to 204.49 and 316.05

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Solution

The third proportional to 204.49 and 316.05 is: 488.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.49 : 316.05 = 316.05 : x
  2. Step 2: Convert to fraction form
    204.49/316.05 = 316.05/x
  3. Step 3: Cross multiply
    204.49x = 316.05 × 316.05
  4. Step 4: Simplify right side
    204.49x = 99,890.57
  5. Step 5: Solve for x
    x = 99,890.57/204.49
  6. Step 6: Final answer
    x = 488.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.