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Finding the Third Proportional to 276,627 and 563,405

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Solution

The third proportional to 276,627 and 563,405 is: 1,147,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,627 : 563,405 = 563,405 : x
  2. Step 2: Convert to fraction form
    276,627/563,405 = 563,405/x
  3. Step 3: Cross multiply
    276,627x = 563,405 × 563,405
  4. Step 4: Simplify right side
    276,627x = 317,425,194,025
  5. Step 5: Solve for x
    x = 317,425,194,025/276,627
  6. Step 6: Final answer
    x = 1,147,484.50

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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.