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Finding the Third Proportional to 218,252 and 329,322

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Solution

The third proportional to 218,252 and 329,322 is: 496,916.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,252 : 329,322 = 329,322 : x
  2. Step 2: Convert to fraction form
    218,252/329,322 = 329,322/x
  3. Step 3: Cross multiply
    218,252x = 329,322 × 329,322
  4. Step 4: Simplify right side
    218,252x = 108,452,979,684
  5. Step 5: Solve for x
    x = 108,452,979,684/218,252
  6. Step 6: Final answer
    x = 496,916.32

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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.