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Finding the Third Proportional to 177,498 and 386,100

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Solution

The third proportional to 177,498 and 386,100 is: 839,858.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,498 : 386,100 = 386,100 : x
  2. Step 2: Convert to fraction form
    177,498/386,100 = 386,100/x
  3. Step 3: Cross multiply
    177,498x = 386,100 × 386,100
  4. Step 4: Simplify right side
    177,498x = 149,073,210,000
  5. Step 5: Solve for x
    x = 149,073,210,000/177,498
  6. Step 6: Final answer
    x = 839,858.53

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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.