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Finding the Third Proportional to 401,150 and 827,720

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Solution

The third proportional to 401,150 and 827,720 is: 1,707,890.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,150 : 827,720 = 827,720 : x
  2. Step 2: Convert to fraction form
    401,150/827,720 = 827,720/x
  3. Step 3: Cross multiply
    401,150x = 827,720 × 827,720
  4. Step 4: Simplify right side
    401,150x = 685,120,398,400
  5. Step 5: Solve for x
    x = 685,120,398,400/401,150
  6. Step 6: Final answer
    x = 1,707,890.81

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.