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Finding the Third Proportional to 177,138 and 385,380

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Solution

The third proportional to 177,138 and 385,380 is: 838,429.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,138 : 385,380 = 385,380 : x
  2. Step 2: Convert to fraction form
    177,138/385,380 = 385,380/x
  3. Step 3: Cross multiply
    177,138x = 385,380 × 385,380
  4. Step 4: Simplify right side
    177,138x = 148,517,744,400
  5. Step 5: Solve for x
    x = 148,517,744,400/177,138
  6. Step 6: Final answer
    x = 838,429.61

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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.