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Finding the Third Proportional to 126.28 and 202.08

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Solution

The third proportional to 126.28 and 202.08 is: 323.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.28 : 202.08 = 202.08 : x
  2. Step 2: Convert to fraction form
    126.28/202.08 = 202.08/x
  3. Step 3: Cross multiply
    126.28x = 202.08 × 202.08
  4. Step 4: Simplify right side
    126.28x = 40,835.57
  5. Step 5: Solve for x
    x = 40,835.57/126.28
  6. Step 6: Final answer
    x = 323.37

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.