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Finding the Third Proportional to 213,967 and 331,134

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Solution

The third proportional to 213,967 and 331,134 is: 512,460.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,967 : 331,134 = 331,134 : x
  2. Step 2: Convert to fraction form
    213,967/331,134 = 331,134/x
  3. Step 3: Cross multiply
    213,967x = 331,134 × 331,134
  4. Step 4: Simplify right side
    213,967x = 109,649,725,956
  5. Step 5: Solve for x
    x = 109,649,725,956/213,967
  6. Step 6: Final answer
    x = 512,460.92

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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.