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Finding the Third Proportional to 165.41 and 243.16

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Solution

The third proportional to 165.41 and 243.16 is: 357.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.41 : 243.16 = 243.16 : x
  2. Step 2: Convert to fraction form
    165.41/243.16 = 243.16/x
  3. Step 3: Cross multiply
    165.41x = 243.16 × 243.16
  4. Step 4: Simplify right side
    165.41x = 59,124.96
  5. Step 5: Solve for x
    x = 59,124.96/165.41
  6. Step 6: Final answer
    x = 357.45

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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.