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Finding the Third Proportional to 640,914.75 and 1,400,930.25

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Solution

The third proportional to 640,914.75 and 1,400,930.25 is: 3,062,194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,914.75 : 1,400,930.25 = 1,400,930.25 : x
  2. Step 2: Convert to fraction form
    640,914.75/1,400,930.25 = 1,400,930.25/x
  3. Step 3: Cross multiply
    640,914.75x = 1,400,930.25 × 1,400,930.25
  4. Step 4: Simplify right side
    640,914.75x = 1,962,605,565,365.06
  5. Step 5: Solve for x
    x = 1,962,605,565,365.06/640,914.75
  6. Step 6: Final answer
    x = 3,062,194.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.