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Finding the Third Proportional to 407,839 and 889,405

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Solution

The third proportional to 407,839 and 889,405 is: 1,939,591.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,839 : 889,405 = 889,405 : x
  2. Step 2: Convert to fraction form
    407,839/889,405 = 889,405/x
  3. Step 3: Cross multiply
    407,839x = 889,405 × 889,405
  4. Step 4: Simplify right side
    407,839x = 791,041,254,025
  5. Step 5: Solve for x
    x = 791,041,254,025/407,839
  6. Step 6: Final answer
    x = 1,939,591.98

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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.