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Finding the Third Proportional to 201,117 and 397,158

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Solution

The third proportional to 201,117 and 397,158 is: 784,292.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,117 : 397,158 = 397,158 : x
  2. Step 2: Convert to fraction form
    201,117/397,158 = 397,158/x
  3. Step 3: Cross multiply
    201,117x = 397,158 × 397,158
  4. Step 4: Simplify right side
    201,117x = 157,734,476,964
  5. Step 5: Solve for x
    x = 157,734,476,964/201,117
  6. Step 6: Final answer
    x = 784,292.11

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.