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Finding the Third Proportional to 380,305.13 and 774,694.13

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Solution

The third proportional to 380,305.13 and 774,694.13 is: 1,578,077.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,305.13 : 774,694.13 = 774,694.13 : x
  2. Step 2: Convert to fraction form
    380,305.13/774,694.13 = 774,694.13/x
  3. Step 3: Cross multiply
    380,305.13x = 774,694.13 × 774,694.13
  4. Step 4: Simplify right side
    380,305.13x = 600,150,987,309.52
  5. Step 5: Solve for x
    x = 600,150,987,309.52/380,305.13
  6. Step 6: Final answer
    x = 1,578,077.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.