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Finding the Third Proportional to 338.13 and 537.63

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Solution

The third proportional to 338.13 and 537.63 is: 854.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.13 : 537.63 = 537.63 : x
  2. Step 2: Convert to fraction form
    338.13/537.63 = 537.63/x
  3. Step 3: Cross multiply
    338.13x = 537.63 × 537.63
  4. Step 4: Simplify right side
    338.13x = 289,040.64
  5. Step 5: Solve for x
    x = 289,040.64/338.13
  6. Step 6: Final answer
    x = 854.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.