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Finding the Third Proportional to 217,221 and 330,279

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Solution

The third proportional to 217,221 and 330,279 is: 502,180.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,221 : 330,279 = 330,279 : x
  2. Step 2: Convert to fraction form
    217,221/330,279 = 330,279/x
  3. Step 3: Cross multiply
    217,221x = 330,279 × 330,279
  4. Step 4: Simplify right side
    217,221x = 109,084,217,841
  5. Step 5: Solve for x
    x = 109,084,217,841/217,221
  6. Step 6: Final answer
    x = 502,180.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.