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Finding the Third Proportional to 289,337 and 447,965

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Solution

The third proportional to 289,337 and 447,965 is: 693,560.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,337 : 447,965 = 447,965 : x
  2. Step 2: Convert to fraction form
    289,337/447,965 = 447,965/x
  3. Step 3: Cross multiply
    289,337x = 447,965 × 447,965
  4. Step 4: Simplify right side
    289,337x = 200,672,641,225
  5. Step 5: Solve for x
    x = 200,672,641,225/289,337
  6. Step 6: Final answer
    x = 693,560.25

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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.