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Finding the Third Proportional to 161.72 and 346.22

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Solution

The third proportional to 161.72 and 346.22 is: 741.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.72 : 346.22 = 346.22 : x
  2. Step 2: Convert to fraction form
    161.72/346.22 = 346.22/x
  3. Step 3: Cross multiply
    161.72x = 346.22 × 346.22
  4. Step 4: Simplify right side
    161.72x = 119,867.42
  5. Step 5: Solve for x
    x = 119,867.42/161.72
  6. Step 6: Final answer
    x = 741.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.