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Finding the Third Proportional to 401,832 and 856,976

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Solution

The third proportional to 401,832 and 856,976 is: 1,827,649.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,832 : 856,976 = 856,976 : x
  2. Step 2: Convert to fraction form
    401,832/856,976 = 856,976/x
  3. Step 3: Cross multiply
    401,832x = 856,976 × 856,976
  4. Step 4: Simplify right side
    401,832x = 734,407,864,576
  5. Step 5: Solve for x
    x = 734,407,864,576/401,832
  6. Step 6: Final answer
    x = 1,827,649.03

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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.