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Finding the Third Proportional to 340,961 and 511,442

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Solution

The third proportional to 340,961 and 511,442 is: 767,163.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,961 : 511,442 = 511,442 : x
  2. Step 2: Convert to fraction form
    340,961/511,442 = 511,442/x
  3. Step 3: Cross multiply
    340,961x = 511,442 × 511,442
  4. Step 4: Simplify right side
    340,961x = 261,572,919,364
  5. Step 5: Solve for x
    x = 261,572,919,364/340,961
  6. Step 6: Final answer
    x = 767,163.75

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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.