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Finding the Third Proportional to 338,719 and 519,790

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Solution

The third proportional to 338,719 and 519,790 is: 797,657.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,719 : 519,790 = 519,790 : x
  2. Step 2: Convert to fraction form
    338,719/519,790 = 519,790/x
  3. Step 3: Cross multiply
    338,719x = 519,790 × 519,790
  4. Step 4: Simplify right side
    338,719x = 270,181,644,100
  5. Step 5: Solve for x
    x = 270,181,644,100/338,719
  6. Step 6: Final answer
    x = 797,657.19

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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.