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Finding the Third Proportional to 165.36 and 243.11

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Solution

The third proportional to 165.36 and 243.11 is: 357.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.36 : 243.11 = 243.11 : x
  2. Step 2: Convert to fraction form
    165.36/243.11 = 243.11/x
  3. Step 3: Cross multiply
    165.36x = 243.11 × 243.11
  4. Step 4: Simplify right side
    165.36x = 59,100.27
  5. Step 5: Solve for x
    x = 59,100.27/165.36
  6. Step 6: Final answer
    x = 357.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.