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Finding the Third Proportional to 192,168 and 266,455.50

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Solution

The third proportional to 192,168 and 266,455.50 is: 369,460.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,168 : 266,455.50 = 266,455.50 : x
  2. Step 2: Convert to fraction form
    192,168/266,455.50 = 266,455.50/x
  3. Step 3: Cross multiply
    192,168x = 266,455.50 × 266,455.50
  4. Step 4: Simplify right side
    192,168x = 70,998,533,480.25
  5. Step 5: Solve for x
    x = 70,998,533,480.25/192,168
  6. Step 6: Final answer
    x = 369,460.75

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.