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Finding the Third Proportional to 177,286 and 380,556

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Solution

The third proportional to 177,286 and 380,556 is: 816,888.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,286 : 380,556 = 380,556 : x
  2. Step 2: Convert to fraction form
    177,286/380,556 = 380,556/x
  3. Step 3: Cross multiply
    177,286x = 380,556 × 380,556
  4. Step 4: Simplify right side
    177,286x = 144,822,869,136
  5. Step 5: Solve for x
    x = 144,822,869,136/177,286
  6. Step 6: Final answer
    x = 816,888.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.