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Finding the Third Proportional to 139,190 and 203,763

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Solution

The third proportional to 139,190 and 203,763 is: 298,292.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,190 : 203,763 = 203,763 : x
  2. Step 2: Convert to fraction form
    139,190/203,763 = 203,763/x
  3. Step 3: Cross multiply
    139,190x = 203,763 × 203,763
  4. Step 4: Simplify right side
    139,190x = 41,519,360,169
  5. Step 5: Solve for x
    x = 41,519,360,169/139,190
  6. Step 6: Final answer
    x = 298,292.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.