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Finding the Third Proportional to 409,163 and 889,144

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Solution

The third proportional to 409,163 and 889,144 is: 1,932,181.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,163 : 889,144 = 889,144 : x
  2. Step 2: Convert to fraction form
    409,163/889,144 = 889,144/x
  3. Step 3: Cross multiply
    409,163x = 889,144 × 889,144
  4. Step 4: Simplify right side
    409,163x = 790,577,052,736
  5. Step 5: Solve for x
    x = 790,577,052,736/409,163
  6. Step 6: Final answer
    x = 1,932,181.19

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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.