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Finding the Third Proportional to 451,408 and 685,974

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Solution

The third proportional to 451,408 and 685,974 is: 1,042,427.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,408 : 685,974 = 685,974 : x
  2. Step 2: Convert to fraction form
    451,408/685,974 = 685,974/x
  3. Step 3: Cross multiply
    451,408x = 685,974 × 685,974
  4. Step 4: Simplify right side
    451,408x = 470,560,328,676
  5. Step 5: Solve for x
    x = 470,560,328,676/451,408
  6. Step 6: Final answer
    x = 1,042,427.98

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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.