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Finding the Third Proportional to 827,004.09 and 1,780,721.72

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Solution

The third proportional to 827,004.09 and 1,780,721.72 is: 3,834,285.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,004.09 : 1,780,721.72 = 1,780,721.72 : x
  2. Step 2: Convert to fraction form
    827,004.09/1,780,721.72 = 1,780,721.72/x
  3. Step 3: Cross multiply
    827,004.09x = 1,780,721.72 × 1,780,721.72
  4. Step 4: Simplify right side
    827,004.09x = 3,170,969,839,627.95
  5. Step 5: Solve for x
    x = 3,170,969,839,627.95/827,004.09
  6. Step 6: Final answer
    x = 3,834,285.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.