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Finding the Third Proportional to 298,919.25 and 646,679.25

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Solution

The third proportional to 298,919.25 and 646,679.25 is: 1,399,020.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,919.25 : 646,679.25 = 646,679.25 : x
  2. Step 2: Convert to fraction form
    298,919.25/646,679.25 = 646,679.25/x
  3. Step 3: Cross multiply
    298,919.25x = 646,679.25 × 646,679.25
  4. Step 4: Simplify right side
    298,919.25x = 418,194,052,380.56
  5. Step 5: Solve for x
    x = 418,194,052,380.56/298,919.25
  6. Step 6: Final answer
    x = 1,399,020.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.