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Finding the Third Proportional to 91,254 and 133,728

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Solution

The third proportional to 91,254 and 133,728 is: 195,971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,254 : 133,728 = 133,728 : x
  2. Step 2: Convert to fraction form
    91,254/133,728 = 133,728/x
  3. Step 3: Cross multiply
    91,254x = 133,728 × 133,728
  4. Step 4: Simplify right side
    91,254x = 17,883,177,984
  5. Step 5: Solve for x
    x = 17,883,177,984/91,254
  6. Step 6: Final answer
    x = 195,971.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.