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Finding the Third Proportional to 190,906 and 397,321

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Solution

The third proportional to 190,906 and 397,321 is: 826,919.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,906 : 397,321 = 397,321 : x
  2. Step 2: Convert to fraction form
    190,906/397,321 = 397,321/x
  3. Step 3: Cross multiply
    190,906x = 397,321 × 397,321
  4. Step 4: Simplify right side
    190,906x = 157,863,977,041
  5. Step 5: Solve for x
    x = 157,863,977,041/190,906
  6. Step 6: Final answer
    x = 826,919.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.