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Finding the Third Proportional to 338.38 and 734.88

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Solution

The third proportional to 338.38 and 734.88 is: 1,595.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.38 : 734.88 = 734.88 : x
  2. Step 2: Convert to fraction form
    338.38/734.88 = 734.88/x
  3. Step 3: Cross multiply
    338.38x = 734.88 × 734.88
  4. Step 4: Simplify right side
    338.38x = 540,041.27
  5. Step 5: Solve for x
    x = 540,041.27/338.38
  6. Step 6: Final answer
    x = 1,595.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.