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Finding the Third Proportional to 161.21 and 246.64

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Solution

The third proportional to 161.21 and 246.64 is: 377.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.21 : 246.64 = 246.64 : x
  2. Step 2: Convert to fraction form
    161.21/246.64 = 246.64/x
  3. Step 3: Cross multiply
    161.21x = 246.64 × 246.64
  4. Step 4: Simplify right side
    161.21x = 60,830.63
  5. Step 5: Solve for x
    x = 60,830.63/161.21
  6. Step 6: Final answer
    x = 377.34

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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.