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Finding the Third Proportional to 331,012 and 511,489

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Solution

The third proportional to 331,012 and 511,489 is: 790,367.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,012 : 511,489 = 511,489 : x
  2. Step 2: Convert to fraction form
    331,012/511,489 = 511,489/x
  3. Step 3: Cross multiply
    331,012x = 511,489 × 511,489
  4. Step 4: Simplify right side
    331,012x = 261,620,997,121
  5. Step 5: Solve for x
    x = 261,620,997,121/331,012
  6. Step 6: Final answer
    x = 790,367.11

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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.