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Finding the Third Proportional to 220,689 and 467,860

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Solution

The third proportional to 220,689 and 467,860 is: 991,861.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,689 : 467,860 = 467,860 : x
  2. Step 2: Convert to fraction form
    220,689/467,860 = 467,860/x
  3. Step 3: Cross multiply
    220,689x = 467,860 × 467,860
  4. Step 4: Simplify right side
    220,689x = 218,892,979,600
  5. Step 5: Solve for x
    x = 218,892,979,600/220,689
  6. Step 6: Final answer
    x = 991,861.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.