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Finding the Third Proportional to 89.63 and 150

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Solution

The third proportional to 89.63 and 150 is: 251.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.63 : 150 = 150 : x
  2. Step 2: Convert to fraction form
    89.63/150 = 150/x
  3. Step 3: Cross multiply
    89.63x = 150 × 150
  4. Step 4: Simplify right side
    89.63x = 22,500
  5. Step 5: Solve for x
    x = 22,500/89.63
  6. Step 6: Final answer
    x = 251.05

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.