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Finding the Third Proportional to 368,347 and 519,919

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Solution

The third proportional to 368,347 and 519,919 is: 733,861.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,347 : 519,919 = 519,919 : x
  2. Step 2: Convert to fraction form
    368,347/519,919 = 519,919/x
  3. Step 3: Cross multiply
    368,347x = 519,919 × 519,919
  4. Step 4: Simplify right side
    368,347x = 270,315,766,561
  5. Step 5: Solve for x
    x = 270,315,766,561/368,347
  6. Step 6: Final answer
    x = 733,861.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.