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Finding the Third Proportional to 289,396.13 and 412,812

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Solution

The third proportional to 289,396.13 and 412,812 is: 588,859.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,396.13 : 412,812 = 412,812 : x
  2. Step 2: Convert to fraction form
    289,396.13/412,812 = 412,812/x
  3. Step 3: Cross multiply
    289,396.13x = 412,812 × 412,812
  4. Step 4: Simplify right side
    289,396.13x = 170,413,747,344
  5. Step 5: Solve for x
    x = 170,413,747,344/289,396.13
  6. Step 6: Final answer
    x = 588,859.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.