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Finding the Third Proportional to 271,438 and 356,938

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Solution

The third proportional to 271,438 and 356,938 is: 469,369.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,438 : 356,938 = 356,938 : x
  2. Step 2: Convert to fraction form
    271,438/356,938 = 356,938/x
  3. Step 3: Cross multiply
    271,438x = 356,938 × 356,938
  4. Step 4: Simplify right side
    271,438x = 127,404,735,844
  5. Step 5: Solve for x
    x = 127,404,735,844/271,438
  6. Step 6: Final answer
    x = 469,369.56

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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.