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Finding the Third Proportional to 162.11 and 251.42

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Solution

The third proportional to 162.11 and 251.42 is: 389.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.11 : 251.42 = 251.42 : x
  2. Step 2: Convert to fraction form
    162.11/251.42 = 251.42/x
  3. Step 3: Cross multiply
    162.11x = 251.42 × 251.42
  4. Step 4: Simplify right side
    162.11x = 63,211.98
  5. Step 5: Solve for x
    x = 63,211.98/162.11
  6. Step 6: Final answer
    x = 389.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.