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Finding the Third Proportional to 90,072 and 195,999

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Solution

The third proportional to 90,072 and 195,999 is: 426,498.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,072 : 195,999 = 195,999 : x
  2. Step 2: Convert to fraction form
    90,072/195,999 = 195,999/x
  3. Step 3: Cross multiply
    90,072x = 195,999 × 195,999
  4. Step 4: Simplify right side
    90,072x = 38,415,608,001
  5. Step 5: Solve for x
    x = 38,415,608,001/90,072
  6. Step 6: Final answer
    x = 426,498.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.