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Finding the Third Proportional to 117.88 and 268.44

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Solution

The third proportional to 117.88 and 268.44 is: 611.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.88 : 268.44 = 268.44 : x
  2. Step 2: Convert to fraction form
    117.88/268.44 = 268.44/x
  3. Step 3: Cross multiply
    117.88x = 268.44 × 268.44
  4. Step 4: Simplify right side
    117.88x = 72,058.69
  5. Step 5: Solve for x
    x = 72,058.69/117.88
  6. Step 6: Final answer
    x = 611.31

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.