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Finding the Third Proportional to 200.44 and 312.38

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Solution

The third proportional to 200.44 and 312.38 is: 486.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.44 : 312.38 = 312.38 : x
  2. Step 2: Convert to fraction form
    200.44/312.38 = 312.38/x
  3. Step 3: Cross multiply
    200.44x = 312.38 × 312.38
  4. Step 4: Simplify right side
    200.44x = 97,578.14
  5. Step 5: Solve for x
    x = 97,578.14/200.44
  6. Step 6: Final answer
    x = 486.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.