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Finding the Third Proportional to 305,928 and 670,950

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Solution

The third proportional to 305,928 and 670,950 is: 1,471,502.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,928 : 670,950 = 670,950 : x
  2. Step 2: Convert to fraction form
    305,928/670,950 = 670,950/x
  3. Step 3: Cross multiply
    305,928x = 670,950 × 670,950
  4. Step 4: Simplify right side
    305,928x = 450,173,902,500
  5. Step 5: Solve for x
    x = 450,173,902,500/305,928
  6. Step 6: Final answer
    x = 1,471,502.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.