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Finding the Third Proportional to 40,038 and 57,990

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Solution

The third proportional to 40,038 and 57,990 is: 83,991.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,038 : 57,990 = 57,990 : x
  2. Step 2: Convert to fraction form
    40,038/57,990 = 57,990/x
  3. Step 3: Cross multiply
    40,038x = 57,990 × 57,990
  4. Step 4: Simplify right side
    40,038x = 3,362,840,100
  5. Step 5: Solve for x
    x = 3,362,840,100/40,038
  6. Step 6: Final answer
    x = 83,991.21

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.