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Finding the Third Proportional to 161.37 and 299.74

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Solution

The third proportional to 161.37 and 299.74 is: 556.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.37 : 299.74 = 299.74 : x
  2. Step 2: Convert to fraction form
    161.37/299.74 = 299.74/x
  3. Step 3: Cross multiply
    161.37x = 299.74 × 299.74
  4. Step 4: Simplify right side
    161.37x = 89,845.38
  5. Step 5: Solve for x
    x = 89,845.38/161.37
  6. Step 6: Final answer
    x = 556.78

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.