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Finding the Third Proportional to 87,072 and 190,884

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Solution

The third proportional to 87,072 and 190,884 is: 418,466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,072 : 190,884 = 190,884 : x
  2. Step 2: Convert to fraction form
    87,072/190,884 = 190,884/x
  3. Step 3: Cross multiply
    87,072x = 190,884 × 190,884
  4. Step 4: Simplify right side
    87,072x = 36,436,701,456
  5. Step 5: Solve for x
    x = 36,436,701,456/87,072
  6. Step 6: Final answer
    x = 418,466.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.