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Finding the Third Proportional to 189,990 and 405,406

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Solution

The third proportional to 189,990 and 405,406 is: 865,066.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,990 : 405,406 = 405,406 : x
  2. Step 2: Convert to fraction form
    189,990/405,406 = 405,406/x
  3. Step 3: Cross multiply
    189,990x = 405,406 × 405,406
  4. Step 4: Simplify right side
    189,990x = 164,354,024,836
  5. Step 5: Solve for x
    x = 164,354,024,836/189,990
  6. Step 6: Final answer
    x = 865,066.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.