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Finding the Third Proportional to 189,218 and 263,091

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Solution

The third proportional to 189,218 and 263,091 is: 365,804.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,218 : 263,091 = 263,091 : x
  2. Step 2: Convert to fraction form
    189,218/263,091 = 263,091/x
  3. Step 3: Cross multiply
    189,218x = 263,091 × 263,091
  4. Step 4: Simplify right side
    189,218x = 69,216,874,281
  5. Step 5: Solve for x
    x = 69,216,874,281/189,218
  6. Step 6: Final answer
    x = 365,804.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.