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Finding the Third Proportional to 45,738 and 68,728

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Solution

The third proportional to 45,738 and 68,728 is: 103,273.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,738 : 68,728 = 68,728 : x
  2. Step 2: Convert to fraction form
    45,738/68,728 = 68,728/x
  3. Step 3: Cross multiply
    45,738x = 68,728 × 68,728
  4. Step 4: Simplify right side
    45,738x = 4,723,537,984
  5. Step 5: Solve for x
    x = 4,723,537,984/45,738
  6. Step 6: Final answer
    x = 103,273.82

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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.