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Finding the Third Proportional to 380,191 and 816,542

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Solution

The third proportional to 380,191 and 816,542 is: 1,753,699.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,191 : 816,542 = 816,542 : x
  2. Step 2: Convert to fraction form
    380,191/816,542 = 816,542/x
  3. Step 3: Cross multiply
    380,191x = 816,542 × 816,542
  4. Step 4: Simplify right side
    380,191x = 666,740,837,764
  5. Step 5: Solve for x
    x = 666,740,837,764/380,191
  6. Step 6: Final answer
    x = 1,753,699.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.