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Finding the Third Proportional to 154,809.42 and 218,004.96

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Solution

The third proportional to 154,809.42 and 218,004.96 is: 306,997.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,809.42 : 218,004.96 = 218,004.96 : x
  2. Step 2: Convert to fraction form
    154,809.42/218,004.96 = 218,004.96/x
  3. Step 3: Cross multiply
    154,809.42x = 218,004.96 × 218,004.96
  4. Step 4: Simplify right side
    154,809.42x = 47,526,162,993.36
  5. Step 5: Solve for x
    x = 47,526,162,993.36/154,809.42
  6. Step 6: Final answer
    x = 306,997.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.