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Finding the Third Proportional to 195,152 and 397,216

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Solution

The third proportional to 195,152 and 397,216 is: 808,500.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,152 : 397,216 = 397,216 : x
  2. Step 2: Convert to fraction form
    195,152/397,216 = 397,216/x
  3. Step 3: Cross multiply
    195,152x = 397,216 × 397,216
  4. Step 4: Simplify right side
    195,152x = 157,780,550,656
  5. Step 5: Solve for x
    x = 157,780,550,656/195,152
  6. Step 6: Final answer
    x = 808,500.81

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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.