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Finding the Third Proportional to 144.75 and 216

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Solution

The third proportional to 144.75 and 216 is: 322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.75 : 216 = 216 : x
  2. Step 2: Convert to fraction form
    144.75/216 = 216/x
  3. Step 3: Cross multiply
    144.75x = 216 × 216
  4. Step 4: Simplify right side
    144.75x = 46,656
  5. Step 5: Solve for x
    x = 46,656/144.75
  6. Step 6: Final answer
    x = 322.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.