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Finding the Third Proportional to 61,680 and 133,728

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Solution

The third proportional to 61,680 and 133,728 is: 289,934.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,680 : 133,728 = 133,728 : x
  2. Step 2: Convert to fraction form
    61,680/133,728 = 133,728/x
  3. Step 3: Cross multiply
    61,680x = 133,728 × 133,728
  4. Step 4: Simplify right side
    61,680x = 17,883,177,984
  5. Step 5: Solve for x
    x = 17,883,177,984/61,680
  6. Step 6: Final answer
    x = 289,934.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.