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Finding the Third Proportional to 72,785 and 154,318

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Solution

The third proportional to 72,785 and 154,318 is: 327,183.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,785 : 154,318 = 154,318 : x
  2. Step 2: Convert to fraction form
    72,785/154,318 = 154,318/x
  3. Step 3: Cross multiply
    72,785x = 154,318 × 154,318
  4. Step 4: Simplify right side
    72,785x = 23,814,045,124
  5. Step 5: Solve for x
    x = 23,814,045,124/72,785
  6. Step 6: Final answer
    x = 327,183.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.