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Finding the Third Proportional to 213,974 and 331,151

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Solution

The third proportional to 213,974 and 331,151 is: 512,496.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,974 : 331,151 = 331,151 : x
  2. Step 2: Convert to fraction form
    213,974/331,151 = 331,151/x
  3. Step 3: Cross multiply
    213,974x = 331,151 × 331,151
  4. Step 4: Simplify right side
    213,974x = 109,660,984,801
  5. Step 5: Solve for x
    x = 109,660,984,801/213,974
  6. Step 6: Final answer
    x = 512,496.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.