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Finding the Third Proportional to 216,078 and 327,098

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Solution

The third proportional to 216,078 and 327,098 is: 495,159.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,078 : 327,098 = 327,098 : x
  2. Step 2: Convert to fraction form
    216,078/327,098 = 327,098/x
  3. Step 3: Cross multiply
    216,078x = 327,098 × 327,098
  4. Step 4: Simplify right side
    216,078x = 106,993,101,604
  5. Step 5: Solve for x
    x = 106,993,101,604/216,078
  6. Step 6: Final answer
    x = 495,159.63

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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.