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Finding the Third Proportional to 220,876 and 350,311

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Solution

The third proportional to 220,876 and 350,311 is: 555,595.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,876 : 350,311 = 350,311 : x
  2. Step 2: Convert to fraction form
    220,876/350,311 = 350,311/x
  3. Step 3: Cross multiply
    220,876x = 350,311 × 350,311
  4. Step 4: Simplify right side
    220,876x = 122,717,796,721
  5. Step 5: Solve for x
    x = 122,717,796,721/220,876
  6. Step 6: Final answer
    x = 555,595.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.