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Finding the Third Proportional to 223,407 and 486,126

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Solution

The third proportional to 223,407 and 486,126 is: 1,057,793.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,407 : 486,126 = 486,126 : x
  2. Step 2: Convert to fraction form
    223,407/486,126 = 486,126/x
  3. Step 3: Cross multiply
    223,407x = 486,126 × 486,126
  4. Step 4: Simplify right side
    223,407x = 236,318,487,876
  5. Step 5: Solve for x
    x = 236,318,487,876/223,407
  6. Step 6: Final answer
    x = 1,057,793.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.