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Finding the Third Proportional to 211,635 and 327,964.50

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Solution

The third proportional to 211,635 and 327,964.50 is: 508,236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,635 : 327,964.50 = 327,964.50 : x
  2. Step 2: Convert to fraction form
    211,635/327,964.50 = 327,964.50/x
  3. Step 3: Cross multiply
    211,635x = 327,964.50 × 327,964.50
  4. Step 4: Simplify right side
    211,635x = 107,560,713,260.25
  5. Step 5: Solve for x
    x = 107,560,713,260.25/211,635
  6. Step 6: Final answer
    x = 508,236.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.