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Finding the Third Proportional to 216,422 and 323,422

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Solution

The third proportional to 216,422 and 323,422 is: 483,323.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,422 : 323,422 = 323,422 : x
  2. Step 2: Convert to fraction form
    216,422/323,422 = 323,422/x
  3. Step 3: Cross multiply
    216,422x = 323,422 × 323,422
  4. Step 4: Simplify right side
    216,422x = 104,601,790,084
  5. Step 5: Solve for x
    x = 104,601,790,084/216,422
  6. Step 6: Final answer
    x = 483,323.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.