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Finding the Third Proportional to 217,953 and 330,189

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Solution

The third proportional to 217,953 and 330,189 is: 500,221.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,953 : 330,189 = 330,189 : x
  2. Step 2: Convert to fraction form
    217,953/330,189 = 330,189/x
  3. Step 3: Cross multiply
    217,953x = 330,189 × 330,189
  4. Step 4: Simplify right side
    217,953x = 109,024,775,721
  5. Step 5: Solve for x
    x = 109,024,775,721/217,953
  6. Step 6: Final answer
    x = 500,221.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.