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Finding the Third Proportional to 177,255 and 388,950

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Solution

The third proportional to 177,255 and 388,950 is: 853,471.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,255 : 388,950 = 388,950 : x
  2. Step 2: Convert to fraction form
    177,255/388,950 = 388,950/x
  3. Step 3: Cross multiply
    177,255x = 388,950 × 388,950
  4. Step 4: Simplify right side
    177,255x = 151,282,102,500
  5. Step 5: Solve for x
    x = 151,282,102,500/177,255
  6. Step 6: Final answer
    x = 853,471.57

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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.