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Finding the Third Proportional to 234.30 and 356.51

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Solution

The third proportional to 234.30 and 356.51 is: 542.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.30 : 356.51 = 356.51 : x
  2. Step 2: Convert to fraction form
    234.30/356.51 = 356.51/x
  3. Step 3: Cross multiply
    234.30x = 356.51 × 356.51
  4. Step 4: Simplify right side
    234.30x = 127,099.91
  5. Step 5: Solve for x
    x = 127,099.91/234.30
  6. Step 6: Final answer
    x = 542.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.