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Finding the Third Proportional to 306,453.38 and 649,771.88

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Solution

The third proportional to 306,453.38 and 649,771.88 is: 1,377,708.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,453.38 : 649,771.88 = 649,771.88 : x
  2. Step 2: Convert to fraction form
    306,453.38/649,771.88 = 649,771.88/x
  3. Step 3: Cross multiply
    306,453.38x = 649,771.88 × 649,771.88
  4. Step 4: Simplify right side
    306,453.38x = 422,203,489,541.02
  5. Step 5: Solve for x
    x = 422,203,489,541.02/306,453.38
  6. Step 6: Final answer
    x = 1,377,708.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.