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Finding the Third Proportional to 105,780 and 220,305

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Solution

The third proportional to 105,780 and 220,305 is: 458,822.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,780 : 220,305 = 220,305 : x
  2. Step 2: Convert to fraction form
    105,780/220,305 = 220,305/x
  3. Step 3: Cross multiply
    105,780x = 220,305 × 220,305
  4. Step 4: Simplify right side
    105,780x = 48,534,293,025
  5. Step 5: Solve for x
    x = 48,534,293,025/105,780
  6. Step 6: Final answer
    x = 458,822.96

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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.