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Finding the Third Proportional to 338,717 and 519,787

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Solution

The third proportional to 338,717 and 519,787 is: 797,652.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,717 : 519,787 = 519,787 : x
  2. Step 2: Convert to fraction form
    338,717/519,787 = 519,787/x
  3. Step 3: Cross multiply
    338,717x = 519,787 × 519,787
  4. Step 4: Simplify right side
    338,717x = 270,178,525,369
  5. Step 5: Solve for x
    x = 270,178,525,369/338,717
  6. Step 6: Final answer
    x = 797,652.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.