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Finding the Third Proportional to 221,723 and 486,367

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Solution

The third proportional to 221,723 and 486,367 is: 1,066,884.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,723 : 486,367 = 486,367 : x
  2. Step 2: Convert to fraction form
    221,723/486,367 = 486,367/x
  3. Step 3: Cross multiply
    221,723x = 486,367 × 486,367
  4. Step 4: Simplify right side
    221,723x = 236,552,858,689
  5. Step 5: Solve for x
    x = 236,552,858,689/221,723
  6. Step 6: Final answer
    x = 1,066,884.62

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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.