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Finding the Third Proportional to 177,521 and 388,212

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Solution

The third proportional to 177,521 and 388,212 is: 848,961.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,521 : 388,212 = 388,212 : x
  2. Step 2: Convert to fraction form
    177,521/388,212 = 388,212/x
  3. Step 3: Cross multiply
    177,521x = 388,212 × 388,212
  4. Step 4: Simplify right side
    177,521x = 150,708,556,944
  5. Step 5: Solve for x
    x = 150,708,556,944/177,521
  6. Step 6: Final answer
    x = 848,961.85

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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.