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Finding the Third Proportional to 198,362 and 263,127

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Solution

The third proportional to 198,362 and 263,127 is: 349,037.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,362 : 263,127 = 263,127 : x
  2. Step 2: Convert to fraction form
    198,362/263,127 = 263,127/x
  3. Step 3: Cross multiply
    198,362x = 263,127 × 263,127
  4. Step 4: Simplify right side
    198,362x = 69,235,818,129
  5. Step 5: Solve for x
    x = 69,235,818,129/198,362
  6. Step 6: Final answer
    x = 349,037.71

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.