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Finding the Third Proportional to 212,434 and 345,099

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Solution

The third proportional to 212,434 and 345,099 is: 560,613.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,434 : 345,099 = 345,099 : x
  2. Step 2: Convert to fraction form
    212,434/345,099 = 345,099/x
  3. Step 3: Cross multiply
    212,434x = 345,099 × 345,099
  4. Step 4: Simplify right side
    212,434x = 119,093,319,801
  5. Step 5: Solve for x
    x = 119,093,319,801/212,434
  6. Step 6: Final answer
    x = 560,613.27

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.