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Finding the Third Proportional to 140,104.69 and 218,905.03

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Solution

The third proportional to 140,104.69 and 218,905.03 is: 342,025.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,104.69 : 218,905.03 = 218,905.03 : x
  2. Step 2: Convert to fraction form
    140,104.69/218,905.03 = 218,905.03/x
  3. Step 3: Cross multiply
    140,104.69x = 218,905.03 × 218,905.03
  4. Step 4: Simplify right side
    140,104.69x = 47,919,412,706.56
  5. Step 5: Solve for x
    x = 47,919,412,706.56/140,104.69
  6. Step 6: Final answer
    x = 342,025.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.