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Finding the Third Proportional to 177,427.97 and 389,206.27

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Solution

The third proportional to 177,427.97 and 389,206.27 is: 853,763.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,427.97 : 389,206.27 = 389,206.27 : x
  2. Step 2: Convert to fraction form
    177,427.97/389,206.27 = 389,206.27/x
  3. Step 3: Cross multiply
    177,427.97x = 389,206.27 × 389,206.27
  4. Step 4: Simplify right side
    177,427.97x = 151,481,517,201.76
  5. Step 5: Solve for x
    x = 151,481,517,201.76/177,427.97
  6. Step 6: Final answer
    x = 853,763.46

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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.