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Finding the Third Proportional to 442,538 and 670,494

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Solution

The third proportional to 442,538 and 670,494 is: 1,015,872.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,538 : 670,494 = 670,494 : x
  2. Step 2: Convert to fraction form
    442,538/670,494 = 670,494/x
  3. Step 3: Cross multiply
    442,538x = 670,494 × 670,494
  4. Step 4: Simplify right side
    442,538x = 449,562,204,036
  5. Step 5: Solve for x
    x = 449,562,204,036/442,538
  6. Step 6: Final answer
    x = 1,015,872.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.