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Finding the Third Proportional to 305,896 and 670,886

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Solution

The third proportional to 305,896 and 670,886 is: 1,471,375.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,896 : 670,886 = 670,886 : x
  2. Step 2: Convert to fraction form
    305,896/670,886 = 670,886/x
  3. Step 3: Cross multiply
    305,896x = 670,886 × 670,886
  4. Step 4: Simplify right side
    305,896x = 450,088,024,996
  5. Step 5: Solve for x
    x = 450,088,024,996/305,896
  6. Step 6: Final answer
    x = 1,471,375.97

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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.