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Finding the Third Proportional to 218,723.63 and 454,906.69

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Solution

The third proportional to 218,723.63 and 454,906.69 is: 946,125.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,723.63 : 454,906.69 = 454,906.69 : x
  2. Step 2: Convert to fraction form
    218,723.63/454,906.69 = 454,906.69/x
  3. Step 3: Cross multiply
    218,723.63x = 454,906.69 × 454,906.69
  4. Step 4: Simplify right side
    218,723.63x = 206,940,094,332.22
  5. Step 5: Solve for x
    x = 206,940,094,332.22/218,723.63
  6. Step 6: Final answer
    x = 946,125.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.