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Finding the Third Proportional to 271,440 and 356,942

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Solution

The third proportional to 271,440 and 356,942 is: 469,376.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,440 : 356,942 = 356,942 : x
  2. Step 2: Convert to fraction form
    271,440/356,942 = 356,942/x
  3. Step 3: Cross multiply
    271,440x = 356,942 × 356,942
  4. Step 4: Simplify right side
    271,440x = 127,407,591,364
  5. Step 5: Solve for x
    x = 127,407,591,364/271,440
  6. Step 6: Final answer
    x = 469,376.63

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.