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Finding the Third Proportional to 222,609 and 493,236

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Solution

The third proportional to 222,609 and 493,236 is: 1,092,865.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,609 : 493,236 = 493,236 : x
  2. Step 2: Convert to fraction form
    222,609/493,236 = 493,236/x
  3. Step 3: Cross multiply
    222,609x = 493,236 × 493,236
  4. Step 4: Simplify right side
    222,609x = 243,281,751,696
  5. Step 5: Solve for x
    x = 243,281,751,696/222,609
  6. Step 6: Final answer
    x = 1,092,865.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.