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Finding the Third Proportional to 193,836 and 405,240

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Solution

The third proportional to 193,836 and 405,240 is: 847,208.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,836 : 405,240 = 405,240 : x
  2. Step 2: Convert to fraction form
    193,836/405,240 = 405,240/x
  3. Step 3: Cross multiply
    193,836x = 405,240 × 405,240
  4. Step 4: Simplify right side
    193,836x = 164,219,457,600
  5. Step 5: Solve for x
    x = 164,219,457,600/193,836
  6. Step 6: Final answer
    x = 847,208.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.