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Finding the Third Proportional to 407,832 and 889,392

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Solution

The third proportional to 407,832 and 889,392 is: 1,939,568.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,832 : 889,392 = 889,392 : x
  2. Step 2: Convert to fraction form
    407,832/889,392 = 889,392/x
  3. Step 3: Cross multiply
    407,832x = 889,392 × 889,392
  4. Step 4: Simplify right side
    407,832x = 791,018,129,664
  5. Step 5: Solve for x
    x = 791,018,129,664/407,832
  6. Step 6: Final answer
    x = 1,939,568.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.