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Finding the Third Proportional to 368,344 and 519,915

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Solution

The third proportional to 368,344 and 519,915 is: 733,856.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,344 : 519,915 = 519,915 : x
  2. Step 2: Convert to fraction form
    368,344/519,915 = 519,915/x
  3. Step 3: Cross multiply
    368,344x = 519,915 × 519,915
  4. Step 4: Simplify right side
    368,344x = 270,311,607,225
  5. Step 5: Solve for x
    x = 270,311,607,225/368,344
  6. Step 6: Final answer
    x = 733,856.41

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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.