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Finding the Third Proportional to 378,705 and 816,456

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Solution

The third proportional to 378,705 and 816,456 is: 1,760,210.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,705 : 816,456 = 816,456 : x
  2. Step 2: Convert to fraction form
    378,705/816,456 = 816,456/x
  3. Step 3: Cross multiply
    378,705x = 816,456 × 816,456
  4. Step 4: Simplify right side
    378,705x = 666,600,399,936
  5. Step 5: Solve for x
    x = 666,600,399,936/378,705
  6. Step 6: Final answer
    x = 1,760,210.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.