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Finding the Third Proportional to 451,401 and 685,965

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Solution

The third proportional to 451,401 and 685,965 is: 1,042,416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,401 : 685,965 = 685,965 : x
  2. Step 2: Convert to fraction form
    451,401/685,965 = 685,965/x
  3. Step 3: Cross multiply
    451,401x = 685,965 × 685,965
  4. Step 4: Simplify right side
    451,401x = 470,547,981,225
  5. Step 5: Solve for x
    x = 470,547,981,225/451,401
  6. Step 6: Final answer
    x = 1,042,416.79

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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.