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Finding the Third Proportional to 401,066 and 856,255

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Solution

The third proportional to 401,066 and 856,255 is: 1,828,059.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,066 : 856,255 = 856,255 : x
  2. Step 2: Convert to fraction form
    401,066/856,255 = 856,255/x
  3. Step 3: Cross multiply
    401,066x = 856,255 × 856,255
  4. Step 4: Simplify right side
    401,066x = 733,172,625,025
  5. Step 5: Solve for x
    x = 733,172,625,025/401,066
  6. Step 6: Final answer
    x = 1,828,059.78

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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.