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Finding the Third Proportional to 427,389,651.75 and 638,568,581.25

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Solution

The third proportional to 427,389,651.75 and 638,568,581.25 is: 954,093,837.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,389,651.75 : 638,568,581.25 = 638,568,581.25 : x
  2. Step 2: Convert to fraction form
    427,389,651.75/638,568,581.25 = 638,568,581.25/x
  3. Step 3: Cross multiply
    427,389,651.75x = 638,568,581.25 × 638,568,581.25
  4. Step 4: Simplify right side
    427,389,651.75x = 407,769,832,959,637,824
  5. Step 5: Solve for x
    x = 407,769,832,959,637,824/427,389,651.75
  6. Step 6: Final answer
    x = 954,093,837.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.