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Finding the Third Proportional to 117.19 and 165.47

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Solution

The third proportional to 117.19 and 165.47 is: 233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.19 : 165.47 = 165.47 : x
  2. Step 2: Convert to fraction form
    117.19/165.47 = 165.47/x
  3. Step 3: Cross multiply
    117.19x = 165.47 × 165.47
  4. Step 4: Simplify right side
    117.19x = 27,379.91
  5. Step 5: Solve for x
    x = 27,379.91/117.19
  6. Step 6: Final answer
    x = 233.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.