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Finding the Third Proportional to 338.52 and 537.14

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Solution

The third proportional to 338.52 and 537.14 is: 852.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.52 : 537.14 = 537.14 : x
  2. Step 2: Convert to fraction form
    338.52/537.14 = 537.14/x
  3. Step 3: Cross multiply
    338.52x = 537.14 × 537.14
  4. Step 4: Simplify right side
    338.52x = 288,518.48
  5. Step 5: Solve for x
    x = 288,518.48/338.52
  6. Step 6: Final answer
    x = 852.31

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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.