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Finding the Third Proportional to 280,176 and 619,227

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Solution

The third proportional to 280,176 and 619,227 is: 1,368,575.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,176 : 619,227 = 619,227 : x
  2. Step 2: Convert to fraction form
    280,176/619,227 = 619,227/x
  3. Step 3: Cross multiply
    280,176x = 619,227 × 619,227
  4. Step 4: Simplify right side
    280,176x = 383,442,077,529
  5. Step 5: Solve for x
    x = 383,442,077,529/280,176
  6. Step 6: Final answer
    x = 1,368,575.74

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.