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Finding the Third Proportional to 213,936 and 329,652

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Solution

The third proportional to 213,936 and 329,652 is: 507,957.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,936 : 329,652 = 329,652 : x
  2. Step 2: Convert to fraction form
    213,936/329,652 = 329,652/x
  3. Step 3: Cross multiply
    213,936x = 329,652 × 329,652
  4. Step 4: Simplify right side
    213,936x = 108,670,441,104
  5. Step 5: Solve for x
    x = 108,670,441,104/213,936
  6. Step 6: Final answer
    x = 507,957.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.