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Finding the Third Proportional to 117.70 and 168.96

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Solution

The third proportional to 117.70 and 168.96 is: 242.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.70 : 168.96 = 168.96 : x
  2. Step 2: Convert to fraction form
    117.70/168.96 = 168.96/x
  3. Step 3: Cross multiply
    117.70x = 168.96 × 168.96
  4. Step 4: Simplify right side
    117.70x = 28,547.80
  5. Step 5: Solve for x
    x = 28,547.80/117.70
  6. Step 6: Final answer
    x = 242.54

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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.