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Finding the Third Proportional to 52.52 and 109.28

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Solution

The third proportional to 52.52 and 109.28 is: 227.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.52 : 109.28 = 109.28 : x
  2. Step 2: Convert to fraction form
    52.52/109.28 = 109.28/x
  3. Step 3: Cross multiply
    52.52x = 109.28 × 109.28
  4. Step 4: Simplify right side
    52.52x = 11,942.39
  5. Step 5: Solve for x
    x = 11,942.39/52.52
  6. Step 6: Final answer
    x = 227.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.