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Finding the Third Proportional to 221,727 and 486,372

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Solution

The third proportional to 221,727 and 486,372 is: 1,066,887.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,727 : 486,372 = 486,372 : x
  2. Step 2: Convert to fraction form
    221,727/486,372 = 486,372/x
  3. Step 3: Cross multiply
    221,727x = 486,372 × 486,372
  4. Step 4: Simplify right side
    221,727x = 236,557,722,384
  5. Step 5: Solve for x
    x = 236,557,722,384/221,727
  6. Step 6: Final answer
    x = 1,066,887.31

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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.