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Finding the Third Proportional to 289,821 and 443,376

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Solution

The third proportional to 289,821 and 443,376 is: 678,288.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,821 : 443,376 = 443,376 : x
  2. Step 2: Convert to fraction form
    289,821/443,376 = 443,376/x
  3. Step 3: Cross multiply
    289,821x = 443,376 × 443,376
  4. Step 4: Simplify right side
    289,821x = 196,582,277,376
  5. Step 5: Solve for x
    x = 196,582,277,376/289,821
  6. Step 6: Final answer
    x = 678,288.59

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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.