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Finding the Third Proportional to 201,102 and 397,128

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Solution

The third proportional to 201,102 and 397,128 is: 784,232.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,102 : 397,128 = 397,128 : x
  2. Step 2: Convert to fraction form
    201,102/397,128 = 397,128/x
  3. Step 3: Cross multiply
    201,102x = 397,128 × 397,128
  4. Step 4: Simplify right side
    201,102x = 157,710,648,384
  5. Step 5: Solve for x
    x = 157,710,648,384/201,102
  6. Step 6: Final answer
    x = 784,232.12

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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.