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Finding the Third Proportional to 217,485 and 327,564

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Solution

The third proportional to 217,485 and 327,564 is: 493,358.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,485 : 327,564 = 327,564 : x
  2. Step 2: Convert to fraction form
    217,485/327,564 = 327,564/x
  3. Step 3: Cross multiply
    217,485x = 327,564 × 327,564
  4. Step 4: Simplify right side
    217,485x = 107,298,174,096
  5. Step 5: Solve for x
    x = 107,298,174,096/217,485
  6. Step 6: Final answer
    x = 493,358.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.