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Finding the Third Proportional to 18,719 and 40,954

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Solution

The third proportional to 18,719 and 40,954 is: 89,600.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,719 : 40,954 = 40,954 : x
  2. Step 2: Convert to fraction form
    18,719/40,954 = 40,954/x
  3. Step 3: Cross multiply
    18,719x = 40,954 × 40,954
  4. Step 4: Simplify right side
    18,719x = 1,677,230,116
  5. Step 5: Solve for x
    x = 1,677,230,116/18,719
  6. Step 6: Final answer
    x = 89,600.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.