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Finding the Third Proportional to 42,295.50 and 100,200.38

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Solution

The third proportional to 42,295.50 and 100,200.38 is: 237,380.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,295.50 : 100,200.38 = 100,200.38 : x
  2. Step 2: Convert to fraction form
    42,295.50/100,200.38 = 100,200.38/x
  3. Step 3: Cross multiply
    42,295.50x = 100,200.38 × 100,200.38
  4. Step 4: Simplify right side
    42,295.50x = 10,040,115,150.14
  5. Step 5: Solve for x
    x = 10,040,115,150.14/42,295.50
  6. Step 6: Final answer
    x = 237,380.22

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.