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Finding the Third Proportional to 101,083 and 158,551

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Solution

The third proportional to 101,083 and 158,551 is: 248,690.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,083 : 158,551 = 158,551 : x
  2. Step 2: Convert to fraction form
    101,083/158,551 = 158,551/x
  3. Step 3: Cross multiply
    101,083x = 158,551 × 158,551
  4. Step 4: Simplify right side
    101,083x = 25,138,419,601
  5. Step 5: Solve for x
    x = 25,138,419,601/101,083
  6. Step 6: Final answer
    x = 248,690.87

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Why These Related Problems?

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