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Finding the Third Proportional to 340,954 and 511,431

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Solution

The third proportional to 340,954 and 511,431 is: 767,146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,954 : 511,431 = 511,431 : x
  2. Step 2: Convert to fraction form
    340,954/511,431 = 511,431/x
  3. Step 3: Cross multiply
    340,954x = 511,431 × 511,431
  4. Step 4: Simplify right side
    340,954x = 261,561,667,761
  5. Step 5: Solve for x
    x = 261,561,667,761/340,954
  6. Step 6: Final answer
    x = 767,146.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.