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Finding the Third Proportional to 22.31 and 51.28

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Solution

The third proportional to 22.31 and 51.28 is: 117.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.31 : 51.28 = 51.28 : x
  2. Step 2: Convert to fraction form
    22.31/51.28 = 51.28/x
  3. Step 3: Cross multiply
    22.31x = 51.28 × 51.28
  4. Step 4: Simplify right side
    22.31x = 2,629.77
  5. Step 5: Solve for x
    x = 2,629.77/22.31
  6. Step 6: Final answer
    x = 117.86

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.