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Finding the Third Proportional to 23,036 and 50,986

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Solution

The third proportional to 23,036 and 50,986 is: 112,848.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,036 : 50,986 = 50,986 : x
  2. Step 2: Convert to fraction form
    23,036/50,986 = 50,986/x
  3. Step 3: Cross multiply
    23,036x = 50,986 × 50,986
  4. Step 4: Simplify right side
    23,036x = 2,599,572,196
  5. Step 5: Solve for x
    x = 2,599,572,196/23,036
  6. Step 6: Final answer
    x = 112,848.25

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.