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Finding the Third Proportional to 140,244 and 306,188

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Solution

The third proportional to 140,244 and 306,188 is: 668,485.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,244 : 306,188 = 306,188 : x
  2. Step 2: Convert to fraction form
    140,244/306,188 = 306,188/x
  3. Step 3: Cross multiply
    140,244x = 306,188 × 306,188
  4. Step 4: Simplify right side
    140,244x = 93,751,091,344
  5. Step 5: Solve for x
    x = 93,751,091,344/140,244
  6. Step 6: Final answer
    x = 668,485.58

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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.