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Finding the Third Proportional to 192,924 and 301,734

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Solution

The third proportional to 192,924 and 301,734 is: 471,913.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,924 : 301,734 = 301,734 : x
  2. Step 2: Convert to fraction form
    192,924/301,734 = 301,734/x
  3. Step 3: Cross multiply
    192,924x = 301,734 × 301,734
  4. Step 4: Simplify right side
    192,924x = 91,043,406,756
  5. Step 5: Solve for x
    x = 91,043,406,756/192,924
  6. Step 6: Final answer
    x = 471,913.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.