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Finding the Third Proportional to 243,996 and 389,592

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Solution

The third proportional to 243,996 and 389,592 is: 622,067.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,996 : 389,592 = 389,592 : x
  2. Step 2: Convert to fraction form
    243,996/389,592 = 389,592/x
  3. Step 3: Cross multiply
    243,996x = 389,592 × 389,592
  4. Step 4: Simplify right side
    243,996x = 151,781,926,464
  5. Step 5: Solve for x
    x = 151,781,926,464/243,996
  6. Step 6: Final answer
    x = 622,067.27

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.