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Finding the Third Proportional to 289,278 and 447,876

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Solution

The third proportional to 289,278 and 447,876 is: 693,426.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,278 : 447,876 = 447,876 : x
  2. Step 2: Convert to fraction form
    289,278/447,876 = 447,876/x
  3. Step 3: Cross multiply
    289,278x = 447,876 × 447,876
  4. Step 4: Simplify right side
    289,278x = 200,592,911,376
  5. Step 5: Solve for x
    x = 200,592,911,376/289,278
  6. Step 6: Final answer
    x = 693,426.09

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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.