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Finding the Third Proportional to 133,284 and 271,920

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Solution

The third proportional to 133,284 and 271,920 is: 554,758.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,284 : 271,920 = 271,920 : x
  2. Step 2: Convert to fraction form
    133,284/271,920 = 271,920/x
  3. Step 3: Cross multiply
    133,284x = 271,920 × 271,920
  4. Step 4: Simplify right side
    133,284x = 73,940,486,400
  5. Step 5: Solve for x
    x = 73,940,486,400/133,284
  6. Step 6: Final answer
    x = 554,758.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.