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Finding the Third Proportional to 289,296 and 447,903

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Solution

The third proportional to 289,296 and 447,903 is: 693,466.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,296 : 447,903 = 447,903 : x
  2. Step 2: Convert to fraction form
    289,296/447,903 = 447,903/x
  3. Step 3: Cross multiply
    289,296x = 447,903 × 447,903
  4. Step 4: Simplify right side
    289,296x = 200,617,097,409
  5. Step 5: Solve for x
    x = 200,617,097,409/289,296
  6. Step 6: Final answer
    x = 693,466.54

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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.