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Finding the Third Proportional to 201,106 and 397,136

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Solution

The third proportional to 201,106 and 397,136 is: 784,248.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,106 : 397,136 = 397,136 : x
  2. Step 2: Convert to fraction form
    201,106/397,136 = 397,136/x
  3. Step 3: Cross multiply
    201,106x = 397,136 × 397,136
  4. Step 4: Simplify right side
    201,106x = 157,717,002,496
  5. Step 5: Solve for x
    x = 157,717,002,496/201,106
  6. Step 6: Final answer
    x = 784,248.12

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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.