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Finding the Third Proportional to 289,439 and 447,285

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Solution

The third proportional to 289,439 and 447,285 is: 691,212.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,439 : 447,285 = 447,285 : x
  2. Step 2: Convert to fraction form
    289,439/447,285 = 447,285/x
  3. Step 3: Cross multiply
    289,439x = 447,285 × 447,285
  4. Step 4: Simplify right side
    289,439x = 200,063,871,225
  5. Step 5: Solve for x
    x = 200,063,871,225/289,439
  6. Step 6: Final answer
    x = 691,212.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.