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Finding the Third Proportional to 305,342 and 672,676

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Solution

The third proportional to 305,342 and 672,676 is: 1,481,921.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,342 : 672,676 = 672,676 : x
  2. Step 2: Convert to fraction form
    305,342/672,676 = 672,676/x
  3. Step 3: Cross multiply
    305,342x = 672,676 × 672,676
  4. Step 4: Simplify right side
    305,342x = 452,493,000,976
  5. Step 5: Solve for x
    x = 452,493,000,976/305,342
  6. Step 6: Final answer
    x = 1,481,921.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.