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Finding the Third Proportional to 195,136 and 397,184

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Solution

The third proportional to 195,136 and 397,184 is: 808,436.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,136 : 397,184 = 397,184 : x
  2. Step 2: Convert to fraction form
    195,136/397,184 = 397,184/x
  3. Step 3: Cross multiply
    195,136x = 397,184 × 397,184
  4. Step 4: Simplify right side
    195,136x = 157,755,129,856
  5. Step 5: Solve for x
    x = 157,755,129,856/195,136
  6. Step 6: Final answer
    x = 808,436.83

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.