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Finding the Third Proportional to 101,086 and 158,554

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Solution

The third proportional to 101,086 and 158,554 is: 248,692.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,086 : 158,554 = 158,554 : x
  2. Step 2: Convert to fraction form
    101,086/158,554 = 158,554/x
  3. Step 3: Cross multiply
    101,086x = 158,554 × 158,554
  4. Step 4: Simplify right side
    101,086x = 25,139,370,916
  5. Step 5: Solve for x
    x = 25,139,370,916/101,086
  6. Step 6: Final answer
    x = 248,692.90

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.