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Finding the Third Proportional to 343,914.75 and 458,676

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Solution

The third proportional to 343,914.75 and 458,676 is: 611,732.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,914.75 : 458,676 = 458,676 : x
  2. Step 2: Convert to fraction form
    343,914.75/458,676 = 458,676/x
  3. Step 3: Cross multiply
    343,914.75x = 458,676 × 458,676
  4. Step 4: Simplify right side
    343,914.75x = 210,383,672,976
  5. Step 5: Solve for x
    x = 210,383,672,976/343,914.75
  6. Step 6: Final answer
    x = 611,732.04

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.