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Finding the Third Proportional to 221,857 and 485,923

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Solution

The third proportional to 221,857 and 485,923 is: 1,064,294.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,857 : 485,923 = 485,923 : x
  2. Step 2: Convert to fraction form
    221,857/485,923 = 485,923/x
  3. Step 3: Cross multiply
    221,857x = 485,923 × 485,923
  4. Step 4: Simplify right side
    221,857x = 236,121,161,929
  5. Step 5: Solve for x
    x = 236,121,161,929/221,857
  6. Step 6: Final answer
    x = 1,064,294.40

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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.