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Finding the Third Proportional to 72,002 and 168,177

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Solution

The third proportional to 72,002 and 168,177 is: 392,815.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,002 : 168,177 = 168,177 : x
  2. Step 2: Convert to fraction form
    72,002/168,177 = 168,177/x
  3. Step 3: Cross multiply
    72,002x = 168,177 × 168,177
  4. Step 4: Simplify right side
    72,002x = 28,283,503,329
  5. Step 5: Solve for x
    x = 28,283,503,329/72,002
  6. Step 6: Final answer
    x = 392,815.52

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.