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Finding the Third Proportional to 192,120 and 308,685

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Solution

The third proportional to 192,120 and 308,685 is: 495,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,120 : 308,685 = 308,685 : x
  2. Step 2: Convert to fraction form
    192,120/308,685 = 308,685/x
  3. Step 3: Cross multiply
    192,120x = 308,685 × 308,685
  4. Step 4: Simplify right side
    192,120x = 95,286,429,225
  5. Step 5: Solve for x
    x = 95,286,429,225/192,120
  6. Step 6: Final answer
    x = 495,973.50

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Why These Related Problems?

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