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Finding the Third Proportional to 640,809 and 1,384,407

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Solution

The third proportional to 640,809 and 1,384,407 is: 2,990,879.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,809 : 1,384,407 = 1,384,407 : x
  2. Step 2: Convert to fraction form
    640,809/1,384,407 = 1,384,407/x
  3. Step 3: Cross multiply
    640,809x = 1,384,407 × 1,384,407
  4. Step 4: Simplify right side
    640,809x = 1,916,582,741,649
  5. Step 5: Solve for x
    x = 1,916,582,741,649/640,809
  6. Step 6: Final answer
    x = 2,990,879.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.