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Finding the Third Proportional to 150,640.50 and 199,921.50

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Solution

The third proportional to 150,640.50 and 199,921.50 is: 265,324.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,640.50 : 199,921.50 = 199,921.50 : x
  2. Step 2: Convert to fraction form
    150,640.50/199,921.50 = 199,921.50/x
  3. Step 3: Cross multiply
    150,640.50x = 199,921.50 × 199,921.50
  4. Step 4: Simplify right side
    150,640.50x = 39,968,606,162.25
  5. Step 5: Solve for x
    x = 39,968,606,162.25/150,640.50
  6. Step 6: Final answer
    x = 265,324.44

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.