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Finding the Third Proportional to 211,423.50 and 289,919.25

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Solution

The third proportional to 211,423.50 and 289,919.25 is: 397,558.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,423.50 : 289,919.25 = 289,919.25 : x
  2. Step 2: Convert to fraction form
    211,423.50/289,919.25 = 289,919.25/x
  3. Step 3: Cross multiply
    211,423.50x = 289,919.25 × 289,919.25
  4. Step 4: Simplify right side
    211,423.50x = 84,053,171,520.56
  5. Step 5: Solve for x
    x = 84,053,171,520.56/211,423.50
  6. Step 6: Final answer
    x = 397,558.32

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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.