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Finding the Third Proportional to 299,304 and 646,086

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Solution

The third proportional to 299,304 and 646,086 is: 1,394,659.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,304 : 646,086 = 646,086 : x
  2. Step 2: Convert to fraction form
    299,304/646,086 = 646,086/x
  3. Step 3: Cross multiply
    299,304x = 646,086 × 646,086
  4. Step 4: Simplify right side
    299,304x = 417,427,119,396
  5. Step 5: Solve for x
    x = 417,427,119,396/299,304
  6. Step 6: Final answer
    x = 1,394,659.34

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Why These Related Problems?

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