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Finding the Third Proportional to 177,221 and 388,889

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Solution

The third proportional to 177,221 and 388,889 is: 853,367.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,221 : 388,889 = 388,889 : x
  2. Step 2: Convert to fraction form
    177,221/388,889 = 388,889/x
  3. Step 3: Cross multiply
    177,221x = 388,889 × 388,889
  4. Step 4: Simplify right side
    177,221x = 151,234,654,321
  5. Step 5: Solve for x
    x = 151,234,654,321/177,221
  6. Step 6: Final answer
    x = 853,367.57

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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.