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Finding the Third Proportional to 211,426.50 and 289,923

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Solution

The third proportional to 211,426.50 and 289,923 is: 397,562.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,426.50 : 289,923 = 289,923 : x
  2. Step 2: Convert to fraction form
    211,426.50/289,923 = 289,923/x
  3. Step 3: Cross multiply
    211,426.50x = 289,923 × 289,923
  4. Step 4: Simplify right side
    211,426.50x = 84,055,345,929
  5. Step 5: Solve for x
    x = 84,055,345,929/211,426.50
  6. Step 6: Final answer
    x = 397,562.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.