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Finding the Third Proportional to 212,845 and 458,909

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Solution

The third proportional to 212,845 and 458,909 is: 989,440.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,845 : 458,909 = 458,909 : x
  2. Step 2: Convert to fraction form
    212,845/458,909 = 458,909/x
  3. Step 3: Cross multiply
    212,845x = 458,909 × 458,909
  4. Step 4: Simplify right side
    212,845x = 210,597,470,281
  5. Step 5: Solve for x
    x = 210,597,470,281/212,845
  6. Step 6: Final answer
    x = 989,440.53

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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.