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Finding the Third Proportional to 71,361 and 168,763

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Solution

The third proportional to 71,361 and 168,763 is: 399,110.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,361 : 168,763 = 168,763 : x
  2. Step 2: Convert to fraction form
    71,361/168,763 = 168,763/x
  3. Step 3: Cross multiply
    71,361x = 168,763 × 168,763
  4. Step 4: Simplify right side
    71,361x = 28,480,950,169
  5. Step 5: Solve for x
    x = 28,480,950,169/71,361
  6. Step 6: Final answer
    x = 399,110.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.