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Finding the Third Proportional to 221,586 and 486,254

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Solution

The third proportional to 221,586 and 486,254 is: 1,067,048.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,586 : 486,254 = 486,254 : x
  2. Step 2: Convert to fraction form
    221,586/486,254 = 486,254/x
  3. Step 3: Cross multiply
    221,586x = 486,254 × 486,254
  4. Step 4: Simplify right side
    221,586x = 236,442,952,516
  5. Step 5: Solve for x
    x = 236,442,952,516/221,586
  6. Step 6: Final answer
    x = 1,067,048.25

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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.