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Finding the Third Proportional to 216,102 and 327,137

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Solution

The third proportional to 216,102 and 327,137 is: 495,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,102 : 327,137 = 327,137 : x
  2. Step 2: Convert to fraction form
    216,102/327,137 = 327,137/x
  3. Step 3: Cross multiply
    216,102x = 327,137 × 327,137
  4. Step 4: Simplify right side
    216,102x = 107,018,616,769
  5. Step 5: Solve for x
    x = 107,018,616,769/216,102
  6. Step 6: Final answer
    x = 495,222.70

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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.