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Finding the Third Proportional to 338,717 and 486,855

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Solution

The third proportional to 338,717 and 486,855 is: 699,781.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,717 : 486,855 = 486,855 : x
  2. Step 2: Convert to fraction form
    338,717/486,855 = 486,855/x
  3. Step 3: Cross multiply
    338,717x = 486,855 × 486,855
  4. Step 4: Simplify right side
    338,717x = 237,027,791,025
  5. Step 5: Solve for x
    x = 237,027,791,025/338,717
  6. Step 6: Final answer
    x = 699,781.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.