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Finding the Third Proportional to 105,783 and 220,311

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Solution

The third proportional to 105,783 and 220,311 is: 458,834.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,783 : 220,311 = 220,311 : x
  2. Step 2: Convert to fraction form
    105,783/220,311 = 220,311/x
  3. Step 3: Cross multiply
    105,783x = 220,311 × 220,311
  4. Step 4: Simplify right side
    105,783x = 48,536,936,721
  5. Step 5: Solve for x
    x = 48,536,936,721/105,783
  6. Step 6: Final answer
    x = 458,834.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.