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Finding the Third Proportional to 311,917 and 446,056

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Solution

The third proportional to 311,917 and 446,056 is: 637,881.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,917 : 446,056 = 446,056 : x
  2. Step 2: Convert to fraction form
    311,917/446,056 = 446,056/x
  3. Step 3: Cross multiply
    311,917x = 446,056 × 446,056
  4. Step 4: Simplify right side
    311,917x = 198,965,955,136
  5. Step 5: Solve for x
    x = 198,965,955,136/311,917
  6. Step 6: Final answer
    x = 637,881.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.