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Finding the Third Proportional to 149,305 and 208,120

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Solution

The third proportional to 149,305 and 208,120 is: 290,103.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,305 : 208,120 = 208,120 : x
  2. Step 2: Convert to fraction form
    149,305/208,120 = 208,120/x
  3. Step 3: Cross multiply
    149,305x = 208,120 × 208,120
  4. Step 4: Simplify right side
    149,305x = 43,313,934,400
  5. Step 5: Solve for x
    x = 43,313,934,400/149,305
  6. Step 6: Final answer
    x = 290,103.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.