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Finding the Third Proportional to 105,580.50 and 219,867

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Solution

The third proportional to 105,580.50 and 219,867 is: 457,863.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,580.50 : 219,867 = 219,867 : x
  2. Step 2: Convert to fraction form
    105,580.50/219,867 = 219,867/x
  3. Step 3: Cross multiply
    105,580.50x = 219,867 × 219,867
  4. Step 4: Simplify right side
    105,580.50x = 48,341,497,689
  5. Step 5: Solve for x
    x = 48,341,497,689/105,580.50
  6. Step 6: Final answer
    x = 457,863.88

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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.