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Finding the Third Proportional to 193,743 and 302,094

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Solution

The third proportional to 193,743 and 302,094 is: 471,040.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,743 : 302,094 = 302,094 : x
  2. Step 2: Convert to fraction form
    193,743/302,094 = 302,094/x
  3. Step 3: Cross multiply
    193,743x = 302,094 × 302,094
  4. Step 4: Simplify right side
    193,743x = 91,260,784,836
  5. Step 5: Solve for x
    x = 91,260,784,836/193,743
  6. Step 6: Final answer
    x = 471,040.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.