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Finding the Third Proportional to 233.38 and 346.19

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Solution

The third proportional to 233.38 and 346.19 is: 513.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.38 : 346.19 = 346.19 : x
  2. Step 2: Convert to fraction form
    233.38/346.19 = 346.19/x
  3. Step 3: Cross multiply
    233.38x = 346.19 × 346.19
  4. Step 4: Simplify right side
    233.38x = 119,845.79
  5. Step 5: Solve for x
    x = 119,845.79/233.38
  6. Step 6: Final answer
    x = 513.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.