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Finding the Third Proportional to 90,836 and 199,170

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Solution

The third proportional to 90,836 and 199,170 is: 436,706.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,836 : 199,170 = 199,170 : x
  2. Step 2: Convert to fraction form
    90,836/199,170 = 199,170/x
  3. Step 3: Cross multiply
    90,836x = 199,170 × 199,170
  4. Step 4: Simplify right side
    90,836x = 39,668,688,900
  5. Step 5: Solve for x
    x = 39,668,688,900/90,836
  6. Step 6: Final answer
    x = 436,706.69

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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.