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Finding the Third Proportional to 351.21 and 534.73

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Solution

The third proportional to 351.21 and 534.73 is: 814.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.21 : 534.73 = 534.73 : x
  2. Step 2: Convert to fraction form
    351.21/534.73 = 534.73/x
  3. Step 3: Cross multiply
    351.21x = 534.73 × 534.73
  4. Step 4: Simplify right side
    351.21x = 285,932.50
  5. Step 5: Solve for x
    x = 285,932.50/351.21
  6. Step 6: Final answer
    x = 814.13

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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.