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Finding the Third Proportional to 280,161 and 619,192

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Solution

The third proportional to 280,161 and 619,192 is: 1,368,494.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,161 : 619,192 = 619,192 : x
  2. Step 2: Convert to fraction form
    280,161/619,192 = 619,192/x
  3. Step 3: Cross multiply
    280,161x = 619,192 × 619,192
  4. Step 4: Simplify right side
    280,161x = 383,398,732,864
  5. Step 5: Solve for x
    x = 383,398,732,864/280,161
  6. Step 6: Final answer
    x = 1,368,494.30

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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.