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Finding the Third Proportional to 280,789 and 381,027

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Solution

The third proportional to 280,789 and 381,027 is: 517,048.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,789 : 381,027 = 381,027 : x
  2. Step 2: Convert to fraction form
    280,789/381,027 = 381,027/x
  3. Step 3: Cross multiply
    280,789x = 381,027 × 381,027
  4. Step 4: Simplify right side
    280,789x = 145,181,574,729
  5. Step 5: Solve for x
    x = 145,181,574,729/280,789
  6. Step 6: Final answer
    x = 517,048.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.