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Finding the Third Proportional to 271,442 and 356,945

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Solution

The third proportional to 271,442 and 356,945 is: 469,381.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,442 : 356,945 = 356,945 : x
  2. Step 2: Convert to fraction form
    271,442/356,945 = 356,945/x
  3. Step 3: Cross multiply
    271,442x = 356,945 × 356,945
  4. Step 4: Simplify right side
    271,442x = 127,409,733,025
  5. Step 5: Solve for x
    x = 127,409,733,025/271,442
  6. Step 6: Final answer
    x = 469,381.06

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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.