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Finding the Third Proportional to 414,876 and 640,742

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Solution

The third proportional to 414,876 and 640,742 is: 989,573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,876 : 640,742 = 640,742 : x
  2. Step 2: Convert to fraction form
    414,876/640,742 = 640,742/x
  3. Step 3: Cross multiply
    414,876x = 640,742 × 640,742
  4. Step 4: Simplify right side
    414,876x = 410,550,310,564
  5. Step 5: Solve for x
    x = 410,550,310,564/414,876
  6. Step 6: Final answer
    x = 989,573.54

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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.