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Finding the Third Proportional to 103,639.50 and 150,042.38

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Solution

The third proportional to 103,639.50 and 150,042.38 is: 217,221.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,639.50 : 150,042.38 = 150,042.38 : x
  2. Step 2: Convert to fraction form
    103,639.50/150,042.38 = 150,042.38/x
  3. Step 3: Cross multiply
    103,639.50x = 150,042.38 × 150,042.38
  4. Step 4: Simplify right side
    103,639.50x = 22,512,714,295.64
  5. Step 5: Solve for x
    x = 22,512,714,295.64/103,639.50
  6. Step 6: Final answer
    x = 217,221.37

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.