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Finding the Third Proportional to 200.72 and 311.48

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Solution

The third proportional to 200.72 and 311.48 is: 483.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.72 : 311.48 = 311.48 : x
  2. Step 2: Convert to fraction form
    200.72/311.48 = 311.48/x
  3. Step 3: Cross multiply
    200.72x = 311.48 × 311.48
  4. Step 4: Simplify right side
    200.72x = 97,022.52
  5. Step 5: Solve for x
    x = 97,022.52/200.72
  6. Step 6: Final answer
    x = 483.38

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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.