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Finding the Third Proportional to 233.30 and 343.20

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Solution

The third proportional to 233.30 and 343.20 is: 504.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.30 : 343.20 = 343.20 : x
  2. Step 2: Convert to fraction form
    233.30/343.20 = 343.20/x
  3. Step 3: Cross multiply
    233.30x = 343.20 × 343.20
  4. Step 4: Simplify right side
    233.30x = 117,783.02
  5. Step 5: Solve for x
    x = 117,783.02/233.30
  6. Step 6: Final answer
    x = 504.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.