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Finding the Third Proportional to 216,096 and 327,128

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Solution

The third proportional to 216,096 and 327,128 is: 495,209.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,096 : 327,128 = 327,128 : x
  2. Step 2: Convert to fraction form
    216,096/327,128 = 327,128/x
  3. Step 3: Cross multiply
    216,096x = 327,128 × 327,128
  4. Step 4: Simplify right side
    216,096x = 107,012,728,384
  5. Step 5: Solve for x
    x = 107,012,728,384/216,096
  6. Step 6: Final answer
    x = 495,209.21

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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.