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Finding the Third Proportional to 68,938 and 105,412

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Solution

The third proportional to 68,938 and 105,412 is: 161,183.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,938 : 105,412 = 105,412 : x
  2. Step 2: Convert to fraction form
    68,938/105,412 = 105,412/x
  3. Step 3: Cross multiply
    68,938x = 105,412 × 105,412
  4. Step 4: Simplify right side
    68,938x = 11,111,689,744
  5. Step 5: Solve for x
    x = 11,111,689,744/68,938
  6. Step 6: Final answer
    x = 161,183.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.