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Finding the Third Proportional to 101,942 and 154,068

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Solution

The third proportional to 101,942 and 154,068 is: 232,847.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,942 : 154,068 = 154,068 : x
  2. Step 2: Convert to fraction form
    101,942/154,068 = 154,068/x
  3. Step 3: Cross multiply
    101,942x = 154,068 × 154,068
  4. Step 4: Simplify right side
    101,942x = 23,736,948,624
  5. Step 5: Solve for x
    x = 23,736,948,624/101,942
  6. Step 6: Final answer
    x = 232,847.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.