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Finding the Third Proportional to 211,467 and 311,359.50

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Solution

The third proportional to 211,467 and 311,359.50 is: 458,439.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,467 : 311,359.50 = 311,359.50 : x
  2. Step 2: Convert to fraction form
    211,467/311,359.50 = 311,359.50/x
  3. Step 3: Cross multiply
    211,467x = 311,359.50 × 311,359.50
  4. Step 4: Simplify right side
    211,467x = 96,944,738,240.25
  5. Step 5: Solve for x
    x = 96,944,738,240.25/211,467
  6. Step 6: Final answer
    x = 458,439.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.