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Finding the Third Proportional to 192,844 and 418,860

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Solution

The third proportional to 192,844 and 418,860 is: 909,770.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,844 : 418,860 = 418,860 : x
  2. Step 2: Convert to fraction form
    192,844/418,860 = 418,860/x
  3. Step 3: Cross multiply
    192,844x = 418,860 × 418,860
  4. Step 4: Simplify right side
    192,844x = 175,443,699,600
  5. Step 5: Solve for x
    x = 175,443,699,600/192,844
  6. Step 6: Final answer
    x = 909,770.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.