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Finding the Third Proportional to 201,118 and 397,160

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Solution

The third proportional to 201,118 and 397,160 is: 784,296.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,118 : 397,160 = 397,160 : x
  2. Step 2: Convert to fraction form
    201,118/397,160 = 397,160/x
  3. Step 3: Cross multiply
    201,118x = 397,160 × 397,160
  4. Step 4: Simplify right side
    201,118x = 157,736,065,600
  5. Step 5: Solve for x
    x = 157,736,065,600/201,118
  6. Step 6: Final answer
    x = 784,296.11

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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.