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Finding the Third Proportional to 200.81 and 308.11

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Solution

The third proportional to 200.81 and 308.11 is: 472.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.81 : 308.11 = 308.11 : x
  2. Step 2: Convert to fraction form
    200.81/308.11 = 308.11/x
  3. Step 3: Cross multiply
    200.81x = 308.11 × 308.11
  4. Step 4: Simplify right side
    200.81x = 94,931.39
  5. Step 5: Solve for x
    x = 94,931.39/200.81
  6. Step 6: Final answer
    x = 472.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.