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Finding the Third Proportional to 382,912 and 811,904

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Solution

The third proportional to 382,912 and 811,904 is: 1,721,513.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,912 : 811,904 = 811,904 : x
  2. Step 2: Convert to fraction form
    382,912/811,904 = 811,904/x
  3. Step 3: Cross multiply
    382,912x = 811,904 × 811,904
  4. Step 4: Simplify right side
    382,912x = 659,188,105,216
  5. Step 5: Solve for x
    x = 659,188,105,216/382,912
  6. Step 6: Final answer
    x = 1,721,513.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.