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Finding the Third Proportional to 150.05 and 209.74

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Solution

The third proportional to 150.05 and 209.74 is: 293.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.05 : 209.74 = 209.74 : x
  2. Step 2: Convert to fraction form
    150.05/209.74 = 209.74/x
  3. Step 3: Cross multiply
    150.05x = 209.74 × 209.74
  4. Step 4: Simplify right side
    150.05x = 43,991.79
  5. Step 5: Solve for x
    x = 43,991.79/150.05
  6. Step 6: Final answer
    x = 293.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.