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Finding the Third Proportional to 387,828 and 810,954

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Solution

The third proportional to 387,828 and 810,954 is: 1,695,716.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,828 : 810,954 = 810,954 : x
  2. Step 2: Convert to fraction form
    387,828/810,954 = 810,954/x
  3. Step 3: Cross multiply
    387,828x = 810,954 × 810,954
  4. Step 4: Simplify right side
    387,828x = 657,646,390,116
  5. Step 5: Solve for x
    x = 657,646,390,116/387,828
  6. Step 6: Final answer
    x = 1,695,716.63

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.