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Finding the Third Proportional to 165.38 and 242.16

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Solution

The third proportional to 165.38 and 242.16 is: 354.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.38 : 242.16 = 242.16 : x
  2. Step 2: Convert to fraction form
    165.38/242.16 = 242.16/x
  3. Step 3: Cross multiply
    165.38x = 242.16 × 242.16
  4. Step 4: Simplify right side
    165.38x = 58,639.65
  5. Step 5: Solve for x
    x = 58,639.65/165.38
  6. Step 6: Final answer
    x = 354.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.