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Finding the Third Proportional to 384,370 and 827,788

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Solution

The third proportional to 384,370 and 827,788 is: 1,782,743.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,370 : 827,788 = 827,788 : x
  2. Step 2: Convert to fraction form
    384,370/827,788 = 827,788/x
  3. Step 3: Cross multiply
    384,370x = 827,788 × 827,788
  4. Step 4: Simplify right side
    384,370x = 685,232,972,944
  5. Step 5: Solve for x
    x = 685,232,972,944/384,370
  6. Step 6: Final answer
    x = 1,782,743.12

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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.