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Finding the Third Proportional to 133,518 and 285,990

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Solution

The third proportional to 133,518 and 285,990 is: 612,578.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,518 : 285,990 = 285,990 : x
  2. Step 2: Convert to fraction form
    133,518/285,990 = 285,990/x
  3. Step 3: Cross multiply
    133,518x = 285,990 × 285,990
  4. Step 4: Simplify right side
    133,518x = 81,790,280,100
  5. Step 5: Solve for x
    x = 81,790,280,100/133,518
  6. Step 6: Final answer
    x = 612,578.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.