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Finding the Third Proportional to 192,576 and 420,144

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Solution

The third proportional to 192,576 and 420,144 is: 916,630.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,576 : 420,144 = 420,144 : x
  2. Step 2: Convert to fraction form
    192,576/420,144 = 420,144/x
  3. Step 3: Cross multiply
    192,576x = 420,144 × 420,144
  4. Step 4: Simplify right side
    192,576x = 176,520,980,736
  5. Step 5: Solve for x
    x = 176,520,980,736/192,576
  6. Step 6: Final answer
    x = 916,630.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.