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Finding the Third Proportional to 192,103.50 and 308,658

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Solution

The third proportional to 192,103.50 and 308,658 is: 495,929.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,103.50 : 308,658 = 308,658 : x
  2. Step 2: Convert to fraction form
    192,103.50/308,658 = 308,658/x
  3. Step 3: Cross multiply
    192,103.50x = 308,658 × 308,658
  4. Step 4: Simplify right side
    192,103.50x = 95,269,760,964
  5. Step 5: Solve for x
    x = 95,269,760,964/192,103.50
  6. Step 6: Final answer
    x = 495,929.33

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.