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Finding the Third Proportional to 385,107.75 and 821,738.25

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Solution

The third proportional to 385,107.75 and 821,738.25 is: 1,753,415.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,107.75 : 821,738.25 = 821,738.25 : x
  2. Step 2: Convert to fraction form
    385,107.75/821,738.25 = 821,738.25/x
  3. Step 3: Cross multiply
    385,107.75x = 821,738.25 × 821,738.25
  4. Step 4: Simplify right side
    385,107.75x = 675,253,751,513.06
  5. Step 5: Solve for x
    x = 675,253,751,513.06/385,107.75
  6. Step 6: Final answer
    x = 1,753,415.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.