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Finding the Third Proportional to 212,847 and 458,913

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Solution

The third proportional to 212,847 and 458,913 is: 989,448.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,847 : 458,913 = 458,913 : x
  2. Step 2: Convert to fraction form
    212,847/458,913 = 458,913/x
  3. Step 3: Cross multiply
    212,847x = 458,913 × 458,913
  4. Step 4: Simplify right side
    212,847x = 210,601,141,569
  5. Step 5: Solve for x
    x = 210,601,141,569/212,847
  6. Step 6: Final answer
    x = 989,448.48

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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.