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Finding the Third Proportional to 378,356 and 827,748

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Solution

The third proportional to 378,356 and 827,748 is: 1,810,904.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,356 : 827,748 = 827,748 : x
  2. Step 2: Convert to fraction form
    378,356/827,748 = 827,748/x
  3. Step 3: Cross multiply
    378,356x = 827,748 × 827,748
  4. Step 4: Simplify right side
    378,356x = 685,166,751,504
  5. Step 5: Solve for x
    x = 685,166,751,504/378,356
  6. Step 6: Final answer
    x = 1,810,904.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.