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Finding the Third Proportional to 212,848 and 309,912

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Solution

The third proportional to 212,848 and 309,912 is: 451,239.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,848 : 309,912 = 309,912 : x
  2. Step 2: Convert to fraction form
    212,848/309,912 = 309,912/x
  3. Step 3: Cross multiply
    212,848x = 309,912 × 309,912
  4. Step 4: Simplify right side
    212,848x = 96,045,447,744
  5. Step 5: Solve for x
    x = 96,045,447,744/212,848
  6. Step 6: Final answer
    x = 451,239.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.