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Finding the Third Proportional to 177,804 and 385,120

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Solution

The third proportional to 177,804 and 385,120 is: 834,162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,804 : 385,120 = 385,120 : x
  2. Step 2: Convert to fraction form
    177,804/385,120 = 385,120/x
  3. Step 3: Cross multiply
    177,804x = 385,120 × 385,120
  4. Step 4: Simplify right side
    177,804x = 148,317,414,400
  5. Step 5: Solve for x
    x = 148,317,414,400/177,804
  6. Step 6: Final answer
    x = 834,162.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.