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Finding the Third Proportional to 158,852 and 342,112

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Solution

The third proportional to 158,852 and 342,112 is: 736,790.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,852 : 342,112 = 342,112 : x
  2. Step 2: Convert to fraction form
    158,852/342,112 = 342,112/x
  3. Step 3: Cross multiply
    158,852x = 342,112 × 342,112
  4. Step 4: Simplify right side
    158,852x = 117,040,620,544
  5. Step 5: Solve for x
    x = 117,040,620,544/158,852
  6. Step 6: Final answer
    x = 736,790.35

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.