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Finding the Third Proportional to 117.07 and 171.49

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Solution

The third proportional to 117.07 and 171.49 is: 251.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.07 : 171.49 = 171.49 : x
  2. Step 2: Convert to fraction form
    117.07/171.49 = 171.49/x
  3. Step 3: Cross multiply
    117.07x = 171.49 × 171.49
  4. Step 4: Simplify right side
    117.07x = 29,409.57
  5. Step 5: Solve for x
    x = 29,409.57/117.07
  6. Step 6: Final answer
    x = 251.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.