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Finding the Third Proportional to 221,868 and 487,992

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Solution

The third proportional to 221,868 and 487,992 is: 1,073,323.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,868 : 487,992 = 487,992 : x
  2. Step 2: Convert to fraction form
    221,868/487,992 = 487,992/x
  3. Step 3: Cross multiply
    221,868x = 487,992 × 487,992
  4. Step 4: Simplify right side
    221,868x = 238,136,192,064
  5. Step 5: Solve for x
    x = 238,136,192,064/221,868
  6. Step 6: Final answer
    x = 1,073,323.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.