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Finding the Third Proportional to 117.08 and 168.66

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Solution

The third proportional to 117.08 and 168.66 is: 242.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.08 : 168.66 = 168.66 : x
  2. Step 2: Convert to fraction form
    117.08/168.66 = 168.66/x
  3. Step 3: Cross multiply
    117.08x = 168.66 × 168.66
  4. Step 4: Simplify right side
    117.08x = 28,444.93
  5. Step 5: Solve for x
    x = 28,444.93/117.08
  6. Step 6: Final answer
    x = 242.96

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.