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Finding the Third Proportional to 177,684 and 388,580

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Solution

The third proportional to 177,684 and 388,580 is: 849,791.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,684 : 388,580 = 388,580 : x
  2. Step 2: Convert to fraction form
    177,684/388,580 = 388,580/x
  3. Step 3: Cross multiply
    177,684x = 388,580 × 388,580
  4. Step 4: Simplify right side
    177,684x = 150,994,416,400
  5. Step 5: Solve for x
    x = 150,994,416,400/177,684
  6. Step 6: Final answer
    x = 849,791.86

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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.