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Finding the Third Proportional to 412,839 and 631,569

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Solution

The third proportional to 412,839 and 631,569 is: 966,186.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,839 : 631,569 = 631,569 : x
  2. Step 2: Convert to fraction form
    412,839/631,569 = 631,569/x
  3. Step 3: Cross multiply
    412,839x = 631,569 × 631,569
  4. Step 4: Simplify right side
    412,839x = 398,879,401,761
  5. Step 5: Solve for x
    x = 398,879,401,761/412,839
  6. Step 6: Final answer
    x = 966,186.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.