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Finding the Third Proportional to 201,126 and 397,176

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Solution

The third proportional to 201,126 and 397,176 is: 784,328.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,126 : 397,176 = 397,176 : x
  2. Step 2: Convert to fraction form
    201,126/397,176 = 397,176/x
  3. Step 3: Cross multiply
    201,126x = 397,176 × 397,176
  4. Step 4: Simplify right side
    201,126x = 157,748,774,976
  5. Step 5: Solve for x
    x = 157,748,774,976/201,126
  6. Step 6: Final answer
    x = 784,328.11

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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.