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Finding the Third Proportional to 276,611 and 563,368

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Solution

The third proportional to 276,611 and 563,368 is: 1,147,400.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,611 : 563,368 = 563,368 : x
  2. Step 2: Convert to fraction form
    276,611/563,368 = 563,368/x
  3. Step 3: Cross multiply
    276,611x = 563,368 × 563,368
  4. Step 4: Simplify right side
    276,611x = 317,383,503,424
  5. Step 5: Solve for x
    x = 317,383,503,424/276,611
  6. Step 6: Final answer
    x = 1,147,400.15

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.