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Finding the Third Proportional to 119,571 and 178,717

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Solution

The third proportional to 119,571 and 178,717 is: 267,119.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,571 : 178,717 = 178,717 : x
  2. Step 2: Convert to fraction form
    119,571/178,717 = 178,717/x
  3. Step 3: Cross multiply
    119,571x = 178,717 × 178,717
  4. Step 4: Simplify right side
    119,571x = 31,939,766,089
  5. Step 5: Solve for x
    x = 31,939,766,089/119,571
  6. Step 6: Final answer
    x = 267,119.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.