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Finding the Third Proportional to 146.81 and 205.31

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Solution

The third proportional to 146.81 and 205.31 is: 287.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.81 : 205.31 = 205.31 : x
  2. Step 2: Convert to fraction form
    146.81/205.31 = 205.31/x
  3. Step 3: Cross multiply
    146.81x = 205.31 × 205.31
  4. Step 4: Simplify right side
    146.81x = 42,153.22
  5. Step 5: Solve for x
    x = 42,153.22/146.81
  6. Step 6: Final answer
    x = 287.12

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