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Finding the Third Proportional to 311,056 and 454,920

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Solution

The third proportional to 311,056 and 454,920 is: 665,321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,056 : 454,920 = 454,920 : x
  2. Step 2: Convert to fraction form
    311,056/454,920 = 454,920/x
  3. Step 3: Cross multiply
    311,056x = 454,920 × 454,920
  4. Step 4: Simplify right side
    311,056x = 206,952,206,400
  5. Step 5: Solve for x
    x = 206,952,206,400/311,056
  6. Step 6: Final answer
    x = 665,321.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.