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Finding the Third Proportional to 218,025 and 327,258

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Solution

The third proportional to 218,025 and 327,258 is: 491,217.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,025 : 327,258 = 327,258 : x
  2. Step 2: Convert to fraction form
    218,025/327,258 = 327,258/x
  3. Step 3: Cross multiply
    218,025x = 327,258 × 327,258
  4. Step 4: Simplify right side
    218,025x = 107,097,798,564
  5. Step 5: Solve for x
    x = 107,097,798,564/218,025
  6. Step 6: Final answer
    x = 491,217.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.