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Finding the Third Proportional to 128.14 and 200.23

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Solution

The third proportional to 128.14 and 200.23 is: 312.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.14 : 200.23 = 200.23 : x
  2. Step 2: Convert to fraction form
    128.14/200.23 = 200.23/x
  3. Step 3: Cross multiply
    128.14x = 200.23 × 200.23
  4. Step 4: Simplify right side
    128.14x = 40,090.38
  5. Step 5: Solve for x
    x = 40,090.38/128.14
  6. Step 6: Final answer
    x = 312.85

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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.