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Finding the Third Proportional to 90,719 and 196,969

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Solution

The third proportional to 90,719 and 196,969 is: 427,658.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,719 : 196,969 = 196,969 : x
  2. Step 2: Convert to fraction form
    90,719/196,969 = 196,969/x
  3. Step 3: Cross multiply
    90,719x = 196,969 × 196,969
  4. Step 4: Simplify right side
    90,719x = 38,796,786,961
  5. Step 5: Solve for x
    x = 38,796,786,961/90,719
  6. Step 6: Final answer
    x = 427,658.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.