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Finding the Third Proportional to 338,256 and 520,099

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Solution

The third proportional to 338,256 and 520,099 is: 799,698.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,256 : 520,099 = 520,099 : x
  2. Step 2: Convert to fraction form
    338,256/520,099 = 520,099/x
  3. Step 3: Cross multiply
    338,256x = 520,099 × 520,099
  4. Step 4: Simplify right side
    338,256x = 270,502,969,801
  5. Step 5: Solve for x
    x = 270,502,969,801/338,256
  6. Step 6: Final answer
    x = 799,698.96

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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.