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Finding the Third Proportional to 107,680.50 and 220,729.50

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Solution

The third proportional to 107,680.50 and 220,729.50 is: 452,463.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,680.50 : 220,729.50 = 220,729.50 : x
  2. Step 2: Convert to fraction form
    107,680.50/220,729.50 = 220,729.50/x
  3. Step 3: Cross multiply
    107,680.50x = 220,729.50 × 220,729.50
  4. Step 4: Simplify right side
    107,680.50x = 48,721,512,170.25
  5. Step 5: Solve for x
    x = 48,721,512,170.25/107,680.50
  6. Step 6: Final answer
    x = 452,463.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.