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Finding the Third Proportional to 189,966 and 282,021

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Solution

The third proportional to 189,966 and 282,021 is: 418,684.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,966 : 282,021 = 282,021 : x
  2. Step 2: Convert to fraction form
    189,966/282,021 = 282,021/x
  3. Step 3: Cross multiply
    189,966x = 282,021 × 282,021
  4. Step 4: Simplify right side
    189,966x = 79,535,844,441
  5. Step 5: Solve for x
    x = 79,535,844,441/189,966
  6. Step 6: Final answer
    x = 418,684.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.