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Finding the Third Proportional to 212,195.25 and 306,871.38

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Solution

The third proportional to 212,195.25 and 306,871.38 is: 443,789.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,195.25 : 306,871.38 = 306,871.38 : x
  2. Step 2: Convert to fraction form
    212,195.25/306,871.38 = 306,871.38/x
  3. Step 3: Cross multiply
    212,195.25x = 306,871.38 × 306,871.38
  4. Step 4: Simplify right side
    212,195.25x = 94,170,040,794.39
  5. Step 5: Solve for x
    x = 94,170,040,794.39/212,195.25
  6. Step 6: Final answer
    x = 443,789.58

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.