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Finding the Third Proportional to 338.75 and 532.38

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Solution

The third proportional to 338.75 and 532.38 is: 836.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.75 : 532.38 = 532.38 : x
  2. Step 2: Convert to fraction form
    338.75/532.38 = 532.38/x
  3. Step 3: Cross multiply
    338.75x = 532.38 × 532.38
  4. Step 4: Simplify right side
    338.75x = 283,423.14
  5. Step 5: Solve for x
    x = 283,423.14/338.75
  6. Step 6: Final answer
    x = 836.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.