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Finding the Third Proportional to 90,544.50 and 192,784

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Solution

The third proportional to 90,544.50 and 192,784 is: 410,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,544.50 : 192,784 = 192,784 : x
  2. Step 2: Convert to fraction form
    90,544.50/192,784 = 192,784/x
  3. Step 3: Cross multiply
    90,544.50x = 192,784 × 192,784
  4. Step 4: Simplify right side
    90,544.50x = 37,165,670,656
  5. Step 5: Solve for x
    x = 37,165,670,656/90,544.50
  6. Step 6: Final answer
    x = 410,468.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.