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Finding the Third Proportional to 409,377 and 888,684

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Solution

The third proportional to 409,377 and 888,684 is: 1,929,173.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,377 : 888,684 = 888,684 : x
  2. Step 2: Convert to fraction form
    409,377/888,684 = 888,684/x
  3. Step 3: Cross multiply
    409,377x = 888,684 × 888,684
  4. Step 4: Simplify right side
    409,377x = 789,759,251,856
  5. Step 5: Solve for x
    x = 789,759,251,856/409,377
  6. Step 6: Final answer
    x = 1,929,173.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.