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Finding the Third Proportional to 200.46 and 311.17

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Solution

The third proportional to 200.46 and 311.17 is: 483.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.46 : 311.17 = 311.17 : x
  2. Step 2: Convert to fraction form
    200.46/311.17 = 311.17/x
  3. Step 3: Cross multiply
    200.46x = 311.17 × 311.17
  4. Step 4: Simplify right side
    200.46x = 96,825.50
  5. Step 5: Solve for x
    x = 96,825.50/200.46
  6. Step 6: Final answer
    x = 483.01

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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.