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Finding the Third Proportional to 177,934 and 388,699

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Solution

The third proportional to 177,934 and 388,699 is: 849,117.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,934 : 388,699 = 388,699 : x
  2. Step 2: Convert to fraction form
    177,934/388,699 = 388,699/x
  3. Step 3: Cross multiply
    177,934x = 388,699 × 388,699
  4. Step 4: Simplify right side
    177,934x = 151,086,912,601
  5. Step 5: Solve for x
    x = 151,086,912,601/177,934
  6. Step 6: Final answer
    x = 849,117.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.