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Finding the Third Proportional to 382,283 and 823,144

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Solution

The third proportional to 382,283 and 823,144 is: 1,772,420.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,283 : 823,144 = 823,144 : x
  2. Step 2: Convert to fraction form
    382,283/823,144 = 823,144/x
  3. Step 3: Cross multiply
    382,283x = 823,144 × 823,144
  4. Step 4: Simplify right side
    382,283x = 677,566,044,736
  5. Step 5: Solve for x
    x = 677,566,044,736/382,283
  6. Step 6: Final answer
    x = 1,772,420.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.