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Finding the Third Proportional to 117.22 and 261.41

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Solution

The third proportional to 117.22 and 261.41 is: 582.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.22 : 261.41 = 261.41 : x
  2. Step 2: Convert to fraction form
    117.22/261.41 = 261.41/x
  3. Step 3: Cross multiply
    117.22x = 261.41 × 261.41
  4. Step 4: Simplify right side
    117.22x = 68,333.23
  5. Step 5: Solve for x
    x = 68,333.23/117.22
  6. Step 6: Final answer
    x = 582.95

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.