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Finding the Third Proportional to 433,857 and 940,116

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Solution

The third proportional to 433,857 and 940,116 is: 2,037,118.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,857 : 940,116 = 940,116 : x
  2. Step 2: Convert to fraction form
    433,857/940,116 = 940,116/x
  3. Step 3: Cross multiply
    433,857x = 940,116 × 940,116
  4. Step 4: Simplify right side
    433,857x = 883,818,093,456
  5. Step 5: Solve for x
    x = 883,818,093,456/433,857
  6. Step 6: Final answer
    x = 2,037,118.44

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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.