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Finding the Third Proportional to 18,218 and 42,989

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Solution

The third proportional to 18,218 and 42,989 is: 101,441.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,218 : 42,989 = 42,989 : x
  2. Step 2: Convert to fraction form
    18,218/42,989 = 42,989/x
  3. Step 3: Cross multiply
    18,218x = 42,989 × 42,989
  4. Step 4: Simplify right side
    18,218x = 1,848,054,121
  5. Step 5: Solve for x
    x = 1,848,054,121/18,218
  6. Step 6: Final answer
    x = 101,441.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.