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Finding the Third Proportional to 177,489 and 386,075

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Solution

The third proportional to 177,489 and 386,075 is: 839,792.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,489 : 386,075 = 386,075 : x
  2. Step 2: Convert to fraction form
    177,489/386,075 = 386,075/x
  3. Step 3: Cross multiply
    177,489x = 386,075 × 386,075
  4. Step 4: Simplify right side
    177,489x = 149,053,905,625
  5. Step 5: Solve for x
    x = 149,053,905,625/177,489
  6. Step 6: Final answer
    x = 839,792.36

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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.