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Finding the Third Proportional to 103,912.88 and 223,366.50

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Solution

The third proportional to 103,912.88 and 223,366.50 is: 480,138.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,912.88 : 223,366.50 = 223,366.50 : x
  2. Step 2: Convert to fraction form
    103,912.88/223,366.50 = 223,366.50/x
  3. Step 3: Cross multiply
    103,912.88x = 223,366.50 × 223,366.50
  4. Step 4: Simplify right side
    103,912.88x = 49,892,593,322.25
  5. Step 5: Solve for x
    x = 49,892,593,322.25/103,912.88
  6. Step 6: Final answer
    x = 480,138.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.