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Finding the Third Proportional to 409,162 and 889,142

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Solution

The third proportional to 409,162 and 889,142 is: 1,932,177.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,162 : 889,142 = 889,142 : x
  2. Step 2: Convert to fraction form
    409,162/889,142 = 889,142/x
  3. Step 3: Cross multiply
    409,162x = 889,142 × 889,142
  4. Step 4: Simplify right side
    409,162x = 790,573,496,164
  5. Step 5: Solve for x
    x = 790,573,496,164/409,162
  6. Step 6: Final answer
    x = 1,932,177.22

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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.