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Finding the Third Proportional to 78.38 and 144

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Solution

The third proportional to 78.38 and 144 is: 264.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.38 : 144 = 144 : x
  2. Step 2: Convert to fraction form
    78.38/144 = 144/x
  3. Step 3: Cross multiply
    78.38x = 144 × 144
  4. Step 4: Simplify right side
    78.38x = 20,736
  5. Step 5: Solve for x
    x = 20,736/78.38
  6. Step 6: Final answer
    x = 264.57

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.