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Finding the Third Proportional to 89,012 and 190,660

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Solution

The third proportional to 89,012 and 190,660 is: 408,385.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,012 : 190,660 = 190,660 : x
  2. Step 2: Convert to fraction form
    89,012/190,660 = 190,660/x
  3. Step 3: Cross multiply
    89,012x = 190,660 × 190,660
  4. Step 4: Simplify right side
    89,012x = 36,351,235,600
  5. Step 5: Solve for x
    x = 36,351,235,600/89,012
  6. Step 6: Final answer
    x = 408,385.79

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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.