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Finding the Third Proportional to 118,453.50 and 225,990

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Solution

The third proportional to 118,453.50 and 225,990 is: 431,152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,453.50 : 225,990 = 225,990 : x
  2. Step 2: Convert to fraction form
    118,453.50/225,990 = 225,990/x
  3. Step 3: Cross multiply
    118,453.50x = 225,990 × 225,990
  4. Step 4: Simplify right side
    118,453.50x = 51,071,480,100
  5. Step 5: Solve for x
    x = 51,071,480,100/118,453.50
  6. Step 6: Final answer
    x = 431,152.14

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.