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Finding the Third Proportional to 192,634.50 and 306,789.75

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Solution

The third proportional to 192,634.50 and 306,789.75 is: 488,593.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,634.50 : 306,789.75 = 306,789.75 : x
  2. Step 2: Convert to fraction form
    192,634.50/306,789.75 = 306,789.75/x
  3. Step 3: Cross multiply
    192,634.50x = 306,789.75 × 306,789.75
  4. Step 4: Simplify right side
    192,634.50x = 94,119,950,705.06
  5. Step 5: Solve for x
    x = 94,119,950,705.06/192,634.50
  6. Step 6: Final answer
    x = 488,593.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.