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Finding the Third Proportional to 189,605 and 405,454

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Solution

The third proportional to 189,605 and 405,454 is: 867,028.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,605 : 405,454 = 405,454 : x
  2. Step 2: Convert to fraction form
    189,605/405,454 = 405,454/x
  3. Step 3: Cross multiply
    189,605x = 405,454 × 405,454
  4. Step 4: Simplify right side
    189,605x = 164,392,946,116
  5. Step 5: Solve for x
    x = 164,392,946,116/189,605
  6. Step 6: Final answer
    x = 867,028.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.