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Finding the Third Proportional to 161.06 and 230.11

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Solution

The third proportional to 161.06 and 230.11 is: 328.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.06 : 230.11 = 230.11 : x
  2. Step 2: Convert to fraction form
    161.06/230.11 = 230.11/x
  3. Step 3: Cross multiply
    161.06x = 230.11 × 230.11
  4. Step 4: Simplify right side
    161.06x = 52,950.32
  5. Step 5: Solve for x
    x = 52,950.32/161.06
  6. Step 6: Final answer
    x = 328.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.