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Finding the Third Proportional to 178,542 and 389,133

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Solution

The third proportional to 178,542 and 389,133 is: 848,116.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,542 : 389,133 = 389,133 : x
  2. Step 2: Convert to fraction form
    178,542/389,133 = 389,133/x
  3. Step 3: Cross multiply
    178,542x = 389,133 × 389,133
  4. Step 4: Simplify right side
    178,542x = 151,424,491,689
  5. Step 5: Solve for x
    x = 151,424,491,689/178,542
  6. Step 6: Final answer
    x = 848,116.92

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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.