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Finding the Third Proportional to 219,990 and 343,131

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Solution

The third proportional to 219,990 and 343,131 is: 535,201.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,990 : 343,131 = 343,131 : x
  2. Step 2: Convert to fraction form
    219,990/343,131 = 343,131/x
  3. Step 3: Cross multiply
    219,990x = 343,131 × 343,131
  4. Step 4: Simplify right side
    219,990x = 117,738,883,161
  5. Step 5: Solve for x
    x = 117,738,883,161/219,990
  6. Step 6: Final answer
    x = 535,201.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.