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Finding the Third Proportional to 289,778 and 443,277

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Solution

The third proportional to 289,778 and 443,277 is: 678,086.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,778 : 443,277 = 443,277 : x
  2. Step 2: Convert to fraction form
    289,778/443,277 = 443,277/x
  3. Step 3: Cross multiply
    289,778x = 443,277 × 443,277
  4. Step 4: Simplify right side
    289,778x = 196,494,498,729
  5. Step 5: Solve for x
    x = 196,494,498,729/289,778
  6. Step 6: Final answer
    x = 678,086.32

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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.