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Finding the Third Proportional to 219,178 and 330,027

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Solution

The third proportional to 219,178 and 330,027 is: 496,937.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,178 : 330,027 = 330,027 : x
  2. Step 2: Convert to fraction form
    219,178/330,027 = 330,027/x
  3. Step 3: Cross multiply
    219,178x = 330,027 × 330,027
  4. Step 4: Simplify right side
    219,178x = 108,917,820,729
  5. Step 5: Solve for x
    x = 108,917,820,729/219,178
  6. Step 6: Final answer
    x = 496,937.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.