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Finding the Third Proportional to 219,330 and 330,615

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Solution

The third proportional to 219,330 and 330,615 is: 498,364.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,330 : 330,615 = 330,615 : x
  2. Step 2: Convert to fraction form
    219,330/330,615 = 330,615/x
  3. Step 3: Cross multiply
    219,330x = 330,615 × 330,615
  4. Step 4: Simplify right side
    219,330x = 109,306,278,225
  5. Step 5: Solve for x
    x = 109,306,278,225/219,330
  6. Step 6: Final answer
    x = 498,364.47

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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.