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Finding the Third Proportional to 289,777 and 443,273

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Solution

The third proportional to 289,777 and 443,273 is: 678,076.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,777 : 443,273 = 443,273 : x
  2. Step 2: Convert to fraction form
    289,777/443,273 = 443,273/x
  3. Step 3: Cross multiply
    289,777x = 443,273 × 443,273
  4. Step 4: Simplify right side
    289,777x = 196,490,952,529
  5. Step 5: Solve for x
    x = 196,490,952,529/289,777
  6. Step 6: Final answer
    x = 678,076.43

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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.