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Finding the Third Proportional to 106,951.50 and 154,149.75

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Solution

The third proportional to 106,951.50 and 154,149.75 is: 222,176.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,951.50 : 154,149.75 = 154,149.75 : x
  2. Step 2: Convert to fraction form
    106,951.50/154,149.75 = 154,149.75/x
  3. Step 3: Cross multiply
    106,951.50x = 154,149.75 × 154,149.75
  4. Step 4: Simplify right side
    106,951.50x = 23,762,145,425.06
  5. Step 5: Solve for x
    x = 23,762,145,425.06/106,951.50
  6. Step 6: Final answer
    x = 222,176.83

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.