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Finding the Third Proportional to 165.32 and 391.63

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Solution

The third proportional to 165.32 and 391.63 is: 927.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.32 : 391.63 = 391.63 : x
  2. Step 2: Convert to fraction form
    165.32/391.63 = 391.63/x
  3. Step 3: Cross multiply
    165.32x = 391.63 × 391.63
  4. Step 4: Simplify right side
    165.32x = 153,375.49
  5. Step 5: Solve for x
    x = 153,375.49/165.32
  6. Step 6: Final answer
    x = 927.74

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.