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Finding the Third Proportional to 376,865 and 511,758

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Solution

The third proportional to 376,865 and 511,758 is: 694,933.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,865 : 511,758 = 511,758 : x
  2. Step 2: Convert to fraction form
    376,865/511,758 = 511,758/x
  3. Step 3: Cross multiply
    376,865x = 511,758 × 511,758
  4. Step 4: Simplify right side
    376,865x = 261,896,250,564
  5. Step 5: Solve for x
    x = 261,896,250,564/376,865
  6. Step 6: Final answer
    x = 694,933.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.