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Finding the Third Proportional to 19,288 and 40,112

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Solution

The third proportional to 19,288 and 40,112 is: 83,418.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,288 : 40,112 = 40,112 : x
  2. Step 2: Convert to fraction form
    19,288/40,112 = 40,112/x
  3. Step 3: Cross multiply
    19,288x = 40,112 × 40,112
  4. Step 4: Simplify right side
    19,288x = 1,608,972,544
  5. Step 5: Solve for x
    x = 1,608,972,544/19,288
  6. Step 6: Final answer
    x = 83,418.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.