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Finding the Third Proportional to 122,728.50 and 188,574.75

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Solution

The third proportional to 122,728.50 and 188,574.75 is: 289,748.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,728.50 : 188,574.75 = 188,574.75 : x
  2. Step 2: Convert to fraction form
    122,728.50/188,574.75 = 188,574.75/x
  3. Step 3: Cross multiply
    122,728.50x = 188,574.75 × 188,574.75
  4. Step 4: Simplify right side
    122,728.50x = 35,560,436,337.56
  5. Step 5: Solve for x
    x = 35,560,436,337.56/122,728.50
  6. Step 6: Final answer
    x = 289,748.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.