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Finding the Third Proportional to 194,836 and 420,016

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Solution

The third proportional to 194,836 and 420,016 is: 905,445.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,836 : 420,016 = 420,016 : x
  2. Step 2: Convert to fraction form
    194,836/420,016 = 420,016/x
  3. Step 3: Cross multiply
    194,836x = 420,016 × 420,016
  4. Step 4: Simplify right side
    194,836x = 176,413,440,256
  5. Step 5: Solve for x
    x = 176,413,440,256/194,836
  6. Step 6: Final answer
    x = 905,445.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.