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Finding the Third Proportional to 622,178.25 and 989,307

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Solution

The third proportional to 622,178.25 and 989,307 is: 1,573,067.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,178.25 : 989,307 = 989,307 : x
  2. Step 2: Convert to fraction form
    622,178.25/989,307 = 989,307/x
  3. Step 3: Cross multiply
    622,178.25x = 989,307 × 989,307
  4. Step 4: Simplify right side
    622,178.25x = 978,728,340,249
  5. Step 5: Solve for x
    x = 978,728,340,249/622,178.25
  6. Step 6: Final answer
    x = 1,573,067.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.