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Finding the Third Proportional to 165.09 and 252.05

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Solution

The third proportional to 165.09 and 252.05 is: 384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.09 : 252.05 = 252.05 : x
  2. Step 2: Convert to fraction form
    165.09/252.05 = 252.05/x
  3. Step 3: Cross multiply
    165.09x = 252.05 × 252.05
  4. Step 4: Simplify right side
    165.09x = 63,527.63
  5. Step 5: Solve for x
    x = 63,527.63/165.09
  6. Step 6: Final answer
    x = 384.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.