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Finding the Third Proportional to 227,824 and 345,138

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Solution

The third proportional to 227,824 and 345,138 is: 522,860.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,824 : 345,138 = 345,138 : x
  2. Step 2: Convert to fraction form
    227,824/345,138 = 345,138/x
  3. Step 3: Cross multiply
    227,824x = 345,138 × 345,138
  4. Step 4: Simplify right side
    227,824x = 119,120,239,044
  5. Step 5: Solve for x
    x = 119,120,239,044/227,824
  6. Step 6: Final answer
    x = 522,860.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.