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Finding the Third Proportional to 213,990 and 331,168

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Solution

The third proportional to 213,990 and 331,168 is: 512,511.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,990 : 331,168 = 331,168 : x
  2. Step 2: Convert to fraction form
    213,990/331,168 = 331,168/x
  3. Step 3: Cross multiply
    213,990x = 331,168 × 331,168
  4. Step 4: Simplify right side
    213,990x = 109,672,244,224
  5. Step 5: Solve for x
    x = 109,672,244,224/213,990
  6. Step 6: Final answer
    x = 512,511.07

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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.