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Finding the Third Proportional to 378,714 and 816,472

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Solution

The third proportional to 378,714 and 816,472 is: 1,760,237.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,714 : 816,472 = 816,472 : x
  2. Step 2: Convert to fraction form
    378,714/816,472 = 816,472/x
  3. Step 3: Cross multiply
    378,714x = 816,472 × 816,472
  4. Step 4: Simplify right side
    378,714x = 666,626,526,784
  5. Step 5: Solve for x
    x = 666,626,526,784/378,714
  6. Step 6: Final answer
    x = 1,760,237.35

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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.