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Finding the Third Proportional to 378,888 and 816,804

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Solution

The third proportional to 378,888 and 816,804 is: 1,760,860.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,888 : 816,804 = 816,804 : x
  2. Step 2: Convert to fraction form
    378,888/816,804 = 816,804/x
  3. Step 3: Cross multiply
    378,888x = 816,804 × 816,804
  4. Step 4: Simplify right side
    378,888x = 667,168,774,416
  5. Step 5: Solve for x
    x = 667,168,774,416/378,888
  6. Step 6: Final answer
    x = 1,760,860.13

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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.