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Finding the Third Proportional to 177,221 and 388,890

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Solution

The third proportional to 177,221 and 388,890 is: 853,371.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,221 : 388,890 = 388,890 : x
  2. Step 2: Convert to fraction form
    177,221/388,890 = 388,890/x
  3. Step 3: Cross multiply
    177,221x = 388,890 × 388,890
  4. Step 4: Simplify right side
    177,221x = 151,235,432,100
  5. Step 5: Solve for x
    x = 151,235,432,100/177,221
  6. Step 6: Final answer
    x = 853,371.96

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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.