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Finding the Third Proportional to 411,980 and 551,794

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Solution

The third proportional to 411,980 and 551,794 is: 739,056.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,980 : 551,794 = 551,794 : x
  2. Step 2: Convert to fraction form
    411,980/551,794 = 551,794/x
  3. Step 3: Cross multiply
    411,980x = 551,794 × 551,794
  4. Step 4: Simplify right side
    411,980x = 304,476,618,436
  5. Step 5: Solve for x
    x = 304,476,618,436/411,980
  6. Step 6: Final answer
    x = 739,056.80

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.