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Finding the Third Proportional to 412,845 and 638,055

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Solution

The third proportional to 412,845 and 638,055 is: 986,118.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,845 : 638,055 = 638,055 : x
  2. Step 2: Convert to fraction form
    412,845/638,055 = 638,055/x
  3. Step 3: Cross multiply
    412,845x = 638,055 × 638,055
  4. Step 4: Simplify right side
    412,845x = 407,114,183,025
  5. Step 5: Solve for x
    x = 407,114,183,025/412,845
  6. Step 6: Final answer
    x = 986,118.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.