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Finding the Third Proportional to 299,199 and 645,954

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Solution

The third proportional to 299,199 and 645,954 is: 1,394,578.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,199 : 645,954 = 645,954 : x
  2. Step 2: Convert to fraction form
    299,199/645,954 = 645,954/x
  3. Step 3: Cross multiply
    299,199x = 645,954 × 645,954
  4. Step 4: Simplify right side
    299,199x = 417,256,570,116
  5. Step 5: Solve for x
    x = 417,256,570,116/299,199
  6. Step 6: Final answer
    x = 1,394,578.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.