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Finding the Third Proportional to 289,236 and 644,876

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Solution

The third proportional to 289,236 and 644,876 is: 1,437,805.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,236 : 644,876 = 644,876 : x
  2. Step 2: Convert to fraction form
    289,236/644,876 = 644,876/x
  3. Step 3: Cross multiply
    289,236x = 644,876 × 644,876
  4. Step 4: Simplify right side
    289,236x = 415,865,055,376
  5. Step 5: Solve for x
    x = 415,865,055,376/289,236
  6. Step 6: Final answer
    x = 1,437,805.31

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.