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Finding the Third Proportional to 640,980 and 1,384,749

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Solution

The third proportional to 640,980 and 1,384,749 is: 2,991,559.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,980 : 1,384,749 = 1,384,749 : x
  2. Step 2: Convert to fraction form
    640,980/1,384,749 = 1,384,749/x
  3. Step 3: Cross multiply
    640,980x = 1,384,749 × 1,384,749
  4. Step 4: Simplify right side
    640,980x = 1,917,529,793,001
  5. Step 5: Solve for x
    x = 1,917,529,793,001/640,980
  6. Step 6: Final answer
    x = 2,991,559.48

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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.