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Finding the Third Proportional to 212,844 and 458,907

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Solution

The third proportional to 212,844 and 458,907 is: 989,436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,844 : 458,907 = 458,907 : x
  2. Step 2: Convert to fraction form
    212,844/458,907 = 458,907/x
  3. Step 3: Cross multiply
    212,844x = 458,907 × 458,907
  4. Step 4: Simplify right side
    212,844x = 210,595,634,649
  5. Step 5: Solve for x
    x = 210,595,634,649/212,844
  6. Step 6: Final answer
    x = 989,436.56

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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.