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Finding the Third Proportional to 378,330.75 and 827,698.50

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Solution

The third proportional to 378,330.75 and 827,698.50 is: 1,810,809.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,330.75 : 827,698.50 = 827,698.50 : x
  2. Step 2: Convert to fraction form
    378,330.75/827,698.50 = 827,698.50/x
  3. Step 3: Cross multiply
    378,330.75x = 827,698.50 × 827,698.50
  4. Step 4: Simplify right side
    378,330.75x = 685,084,806,902.25
  5. Step 5: Solve for x
    x = 685,084,806,902.25/378,330.75
  6. Step 6: Final answer
    x = 1,810,809.21

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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.