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Finding the Third Proportional to 101.57 and 200.29

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Solution

The third proportional to 101.57 and 200.29 is: 394.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.57 : 200.29 = 200.29 : x
  2. Step 2: Convert to fraction form
    101.57/200.29 = 200.29/x
  3. Step 3: Cross multiply
    101.57x = 200.29 × 200.29
  4. Step 4: Simplify right side
    101.57x = 40,114.14
  5. Step 5: Solve for x
    x = 40,114.14/101.57
  6. Step 6: Final answer
    x = 394.95

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.