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Finding the Third Proportional to 149.63 and 208.50

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Solution

The third proportional to 149.63 and 208.50 is: 290.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.63 : 208.50 = 208.50 : x
  2. Step 2: Convert to fraction form
    149.63/208.50 = 208.50/x
  3. Step 3: Cross multiply
    149.63x = 208.50 × 208.50
  4. Step 4: Simplify right side
    149.63x = 43,472.25
  5. Step 5: Solve for x
    x = 43,472.25/149.63
  6. Step 6: Final answer
    x = 290.54

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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.