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Finding the Third Proportional to 219,256 and 328,004

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Solution

The third proportional to 219,256 and 328,004 is: 490,689.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,256 : 328,004 = 328,004 : x
  2. Step 2: Convert to fraction form
    219,256/328,004 = 328,004/x
  3. Step 3: Cross multiply
    219,256x = 328,004 × 328,004
  4. Step 4: Simplify right side
    219,256x = 107,586,624,016
  5. Step 5: Solve for x
    x = 107,586,624,016/219,256
  6. Step 6: Final answer
    x = 490,689.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.