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Finding the Third Proportional to 213,989 and 331,176

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Solution

The third proportional to 213,989 and 331,176 is: 512,538.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,989 : 331,176 = 331,176 : x
  2. Step 2: Convert to fraction form
    213,989/331,176 = 331,176/x
  3. Step 3: Cross multiply
    213,989x = 331,176 × 331,176
  4. Step 4: Simplify right side
    213,989x = 109,677,542,976
  5. Step 5: Solve for x
    x = 109,677,542,976/213,989
  6. Step 6: Final answer
    x = 512,538.23

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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.