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Finding the Third Proportional to 414,886 and 640,760

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Solution

The third proportional to 414,886 and 640,760 is: 989,605.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,886 : 640,760 = 640,760 : x
  2. Step 2: Convert to fraction form
    414,886/640,760 = 640,760/x
  3. Step 3: Cross multiply
    414,886x = 640,760 × 640,760
  4. Step 4: Simplify right side
    414,886x = 410,573,377,600
  5. Step 5: Solve for x
    x = 410,573,377,600/414,886
  6. Step 6: Final answer
    x = 989,605.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.