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Finding the Third Proportional to 220,687 and 467,856

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Solution

The third proportional to 220,687 and 467,856 is: 991,853.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,687 : 467,856 = 467,856 : x
  2. Step 2: Convert to fraction form
    220,687/467,856 = 467,856/x
  3. Step 3: Cross multiply
    220,687x = 467,856 × 467,856
  4. Step 4: Simplify right side
    220,687x = 218,889,236,736
  5. Step 5: Solve for x
    x = 218,889,236,736/220,687
  6. Step 6: Final answer
    x = 991,853.79

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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.