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Finding the Third Proportional to 338,238 and 520,074

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Solution

The third proportional to 338,238 and 520,074 is: 799,664.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,238 : 520,074 = 520,074 : x
  2. Step 2: Convert to fraction form
    338,238/520,074 = 520,074/x
  3. Step 3: Cross multiply
    338,238x = 520,074 × 520,074
  4. Step 4: Simplify right side
    338,238x = 270,476,965,476
  5. Step 5: Solve for x
    x = 270,476,965,476/338,238
  6. Step 6: Final answer
    x = 799,664.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.