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Finding the Third Proportional to 329,072 and 445,920

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Solution

The third proportional to 329,072 and 445,920 is: 604,258.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,072 : 445,920 = 445,920 : x
  2. Step 2: Convert to fraction form
    329,072/445,920 = 445,920/x
  3. Step 3: Cross multiply
    329,072x = 445,920 × 445,920
  4. Step 4: Simplify right side
    329,072x = 198,844,646,400
  5. Step 5: Solve for x
    x = 198,844,646,400/329,072
  6. Step 6: Final answer
    x = 604,258.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.