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Finding the Third Proportional to 90,144 and 133,728

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Solution

The third proportional to 90,144 and 133,728 is: 198,384.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,144 : 133,728 = 133,728 : x
  2. Step 2: Convert to fraction form
    90,144/133,728 = 133,728/x
  3. Step 3: Cross multiply
    90,144x = 133,728 × 133,728
  4. Step 4: Simplify right side
    90,144x = 17,883,177,984
  5. Step 5: Solve for x
    x = 17,883,177,984/90,144
  6. Step 6: Final answer
    x = 198,384.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.