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Finding the Third Proportional to 640,983 and 1,384,755

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Solution

The third proportional to 640,983 and 1,384,755 is: 2,991,571.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,983 : 1,384,755 = 1,384,755 : x
  2. Step 2: Convert to fraction form
    640,983/1,384,755 = 1,384,755/x
  3. Step 3: Cross multiply
    640,983x = 1,384,755 × 1,384,755
  4. Step 4: Simplify right side
    640,983x = 1,917,546,410,025
  5. Step 5: Solve for x
    x = 1,917,546,410,025/640,983
  6. Step 6: Final answer
    x = 2,991,571.40

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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.