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Finding the Third Proportional to 72,318 and 168,955

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Solution

The third proportional to 72,318 and 168,955 is: 394,725.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,318 : 168,955 = 168,955 : x
  2. Step 2: Convert to fraction form
    72,318/168,955 = 168,955/x
  3. Step 3: Cross multiply
    72,318x = 168,955 × 168,955
  4. Step 4: Simplify right side
    72,318x = 28,545,792,025
  5. Step 5: Solve for x
    x = 28,545,792,025/72,318
  6. Step 6: Final answer
    x = 394,725.96

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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.