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Finding the Third Proportional to 192,136 and 308,704

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Solution

The third proportional to 192,136 and 308,704 is: 495,993.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,136 : 308,704 = 308,704 : x
  2. Step 2: Convert to fraction form
    192,136/308,704 = 308,704/x
  3. Step 3: Cross multiply
    192,136x = 308,704 × 308,704
  4. Step 4: Simplify right side
    192,136x = 95,298,159,616
  5. Step 5: Solve for x
    x = 95,298,159,616/192,136
  6. Step 6: Final answer
    x = 495,993.25

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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.