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Finding the Third Proportional to 184,515 and 399,631

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Solution

The third proportional to 184,515 and 399,631 is: 865,539.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,515 : 399,631 = 399,631 : x
  2. Step 2: Convert to fraction form
    184,515/399,631 = 399,631/x
  3. Step 3: Cross multiply
    184,515x = 399,631 × 399,631
  4. Step 4: Simplify right side
    184,515x = 159,704,936,161
  5. Step 5: Solve for x
    x = 159,704,936,161/184,515
  6. Step 6: Final answer
    x = 865,539.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.