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Finding the Third Proportional to 192.09 and 419.84

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Solution

The third proportional to 192.09 and 419.84 is: 917.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.09 : 419.84 = 419.84 : x
  2. Step 2: Convert to fraction form
    192.09/419.84 = 419.84/x
  3. Step 3: Cross multiply
    192.09x = 419.84 × 419.84
  4. Step 4: Simplify right side
    192.09x = 176,262.21
  5. Step 5: Solve for x
    x = 176,262.21/192.09
  6. Step 6: Final answer
    x = 917.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.