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Finding the Third Proportional to 374,211 and 823,144

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Solution

The third proportional to 374,211 and 823,144 is: 1,810,652.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,211 : 823,144 = 823,144 : x
  2. Step 2: Convert to fraction form
    374,211/823,144 = 823,144/x
  3. Step 3: Cross multiply
    374,211x = 823,144 × 823,144
  4. Step 4: Simplify right side
    374,211x = 677,566,044,736
  5. Step 5: Solve for x
    x = 677,566,044,736/374,211
  6. Step 6: Final answer
    x = 1,810,652.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.