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Finding the Third Proportional to 148,586 and 217,189

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Solution

The third proportional to 148,586 and 217,189 is: 317,466.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,586 : 217,189 = 217,189 : x
  2. Step 2: Convert to fraction form
    148,586/217,189 = 217,189/x
  3. Step 3: Cross multiply
    148,586x = 217,189 × 217,189
  4. Step 4: Simplify right side
    148,586x = 47,171,061,721
  5. Step 5: Solve for x
    x = 47,171,061,721/148,586
  6. Step 6: Final answer
    x = 317,466.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.