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Finding the Third Proportional to 201.90 and 436.04

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Solution

The third proportional to 201.90 and 436.04 is: 941.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.90 : 436.04 = 436.04 : x
  2. Step 2: Convert to fraction form
    201.90/436.04 = 436.04/x
  3. Step 3: Cross multiply
    201.90x = 436.04 × 436.04
  4. Step 4: Simplify right side
    201.90x = 190,133.47
  5. Step 5: Solve for x
    x = 190,133.47/201.90
  6. Step 6: Final answer
    x = 941.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.