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Finding the Third Proportional to 305,478 and 670,728

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Solution

The third proportional to 305,478 and 670,728 is: 1,472,695.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,478 : 670,728 = 670,728 : x
  2. Step 2: Convert to fraction form
    305,478/670,728 = 670,728/x
  3. Step 3: Cross multiply
    305,478x = 670,728 × 670,728
  4. Step 4: Simplify right side
    305,478x = 449,876,049,984
  5. Step 5: Solve for x
    x = 449,876,049,984/305,478
  6. Step 6: Final answer
    x = 1,472,695.42

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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.