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Finding the Third Proportional to 309,878 and 664,954

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Solution

The third proportional to 309,878 and 664,954 is: 1,426,896.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,878 : 664,954 = 664,954 : x
  2. Step 2: Convert to fraction form
    309,878/664,954 = 664,954/x
  3. Step 3: Cross multiply
    309,878x = 664,954 × 664,954
  4. Step 4: Simplify right side
    309,878x = 442,163,822,116
  5. Step 5: Solve for x
    x = 442,163,822,116/309,878
  6. Step 6: Final answer
    x = 1,426,896.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.