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Finding the Third Proportional to 361,728 and 551,008

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Solution

The third proportional to 361,728 and 551,008 is: 839,331.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,728 : 551,008 = 551,008 : x
  2. Step 2: Convert to fraction form
    361,728/551,008 = 551,008/x
  3. Step 3: Cross multiply
    361,728x = 551,008 × 551,008
  4. Step 4: Simplify right side
    361,728x = 303,609,816,064
  5. Step 5: Solve for x
    x = 303,609,816,064/361,728
  6. Step 6: Final answer
    x = 839,331.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.