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Finding the Third Proportional to 217,660 and 308,094

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Solution

The third proportional to 217,660 and 308,094 is: 436,101.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,660 : 308,094 = 308,094 : x
  2. Step 2: Convert to fraction form
    217,660/308,094 = 308,094/x
  3. Step 3: Cross multiply
    217,660x = 308,094 × 308,094
  4. Step 4: Simplify right side
    217,660x = 94,921,912,836
  5. Step 5: Solve for x
    x = 94,921,912,836/217,660
  6. Step 6: Final answer
    x = 436,101.78

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.