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Finding the Third Proportional to 54,144 and 81,216

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Solution

The third proportional to 54,144 and 81,216 is: 121,824

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,144 : 81,216 = 81,216 : x
  2. Step 2: Convert to fraction form
    54,144/81,216 = 81,216/x
  3. Step 3: Cross multiply
    54,144x = 81,216 × 81,216
  4. Step 4: Simplify right side
    54,144x = 6,596,038,656
  5. Step 5: Solve for x
    x = 6,596,038,656/54,144
  6. Step 6: Final answer
    x = 121,824

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.