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Finding the Third Proportional to 178,311.75 and 388,609.13

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Solution

The third proportional to 178,311.75 and 388,609.13 is: 846,927.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,311.75 : 388,609.13 = 388,609.13 : x
  2. Step 2: Convert to fraction form
    178,311.75/388,609.13 = 388,609.13/x
  3. Step 3: Cross multiply
    178,311.75x = 388,609.13 × 388,609.13
  4. Step 4: Simplify right side
    178,311.75x = 151,017,052,033.27
  5. Step 5: Solve for x
    x = 151,017,052,033.27/178,311.75
  6. Step 6: Final answer
    x = 846,927.09

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