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Finding the Third Proportional to 221.34 and 346.22

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Solution

The third proportional to 221.34 and 346.22 is: 541.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.34 : 346.22 = 346.22 : x
  2. Step 2: Convert to fraction form
    221.34/346.22 = 346.22/x
  3. Step 3: Cross multiply
    221.34x = 346.22 × 346.22
  4. Step 4: Simplify right side
    221.34x = 119,867.42
  5. Step 5: Solve for x
    x = 119,867.42/221.34
  6. Step 6: Final answer
    x = 541.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.