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Finding the Third Proportional to 217,707 and 308,325

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Solution

The third proportional to 217,707 and 308,325 is: 436,661.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,707 : 308,325 = 308,325 : x
  2. Step 2: Convert to fraction form
    217,707/308,325 = 308,325/x
  3. Step 3: Cross multiply
    217,707x = 308,325 × 308,325
  4. Step 4: Simplify right side
    217,707x = 95,064,305,625
  5. Step 5: Solve for x
    x = 95,064,305,625/217,707
  6. Step 6: Final answer
    x = 436,661.69

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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.