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Finding the Third Proportional to 409,150 and 889,121

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Solution

The third proportional to 409,150 and 889,121 is: 1,932,142.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,150 : 889,121 = 889,121 : x
  2. Step 2: Convert to fraction form
    409,150/889,121 = 889,121/x
  3. Step 3: Cross multiply
    409,150x = 889,121 × 889,121
  4. Step 4: Simplify right side
    409,150x = 790,536,152,641
  5. Step 5: Solve for x
    x = 790,536,152,641/409,150
  6. Step 6: Final answer
    x = 1,932,142.62

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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.