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Finding the Third Proportional to 271,138 and 362,220

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Solution

The third proportional to 271,138 and 362,220 is: 483,898.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,138 : 362,220 = 362,220 : x
  2. Step 2: Convert to fraction form
    271,138/362,220 = 362,220/x
  3. Step 3: Cross multiply
    271,138x = 362,220 × 362,220
  4. Step 4: Simplify right side
    271,138x = 131,203,328,400
  5. Step 5: Solve for x
    x = 131,203,328,400/271,138
  6. Step 6: Final answer
    x = 483,898.71

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.