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Finding the Third Proportional to 380,774 and 827,197

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Solution

The third proportional to 380,774 and 827,197 is: 1,797,010.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,774 : 827,197 = 827,197 : x
  2. Step 2: Convert to fraction form
    380,774/827,197 = 827,197/x
  3. Step 3: Cross multiply
    380,774x = 827,197 × 827,197
  4. Step 4: Simplify right side
    380,774x = 684,254,876,809
  5. Step 5: Solve for x
    x = 684,254,876,809/380,774
  6. Step 6: Final answer
    x = 1,797,010.50

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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.