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Finding the Third Proportional to 43,767 and 68,391

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Solution

The third proportional to 43,767 and 68,391 is: 106,868.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,767 : 68,391 = 68,391 : x
  2. Step 2: Convert to fraction form
    43,767/68,391 = 68,391/x
  3. Step 3: Cross multiply
    43,767x = 68,391 × 68,391
  4. Step 4: Simplify right side
    43,767x = 4,677,328,881
  5. Step 5: Solve for x
    x = 4,677,328,881/43,767
  6. Step 6: Final answer
    x = 106,868.85

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.