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Finding the Third Proportional to 148 and 207.75

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Solution

The third proportional to 148 and 207.75 is: 291.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    148 : 207.75 = 207.75 : x
  2. Step 2: Convert to fraction form
    148/207.75 = 207.75/x
  3. Step 3: Cross multiply
    148x = 207.75 × 207.75
  4. Step 4: Simplify right side
    148x = 43,160.06
  5. Step 5: Solve for x
    x = 43,160.06/148
  6. Step 6: Final answer
    x = 291.62

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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.