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Finding the Third Proportional to 276,642 and 563,427

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Solution

The third proportional to 276,642 and 563,427 is: 1,147,511.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,642 : 563,427 = 563,427 : x
  2. Step 2: Convert to fraction form
    276,642/563,427 = 563,427/x
  3. Step 3: Cross multiply
    276,642x = 563,427 × 563,427
  4. Step 4: Simplify right side
    276,642x = 317,449,984,329
  5. Step 5: Solve for x
    x = 317,449,984,329/276,642
  6. Step 6: Final answer
    x = 1,147,511.89

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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.