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Finding the Third Proportional to 213,968 and 331,138

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Solution

The third proportional to 213,968 and 331,138 is: 512,470.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,968 : 331,138 = 331,138 : x
  2. Step 2: Convert to fraction form
    213,968/331,138 = 331,138/x
  3. Step 3: Cross multiply
    213,968x = 331,138 × 331,138
  4. Step 4: Simplify right side
    213,968x = 109,652,375,044
  5. Step 5: Solve for x
    x = 109,652,375,044/213,968
  6. Step 6: Final answer
    x = 512,470.91

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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.