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Finding the Third Proportional to 177,343 and 389,138

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Solution

The third proportional to 177,343 and 389,138 is: 853,872.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,343 : 389,138 = 389,138 : x
  2. Step 2: Convert to fraction form
    177,343/389,138 = 389,138/x
  3. Step 3: Cross multiply
    177,343x = 389,138 × 389,138
  4. Step 4: Simplify right side
    177,343x = 151,428,383,044
  5. Step 5: Solve for x
    x = 151,428,383,044/177,343
  6. Step 6: Final answer
    x = 853,872.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.