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Finding the Third Proportional to 217,728 and 333,072

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Solution

The third proportional to 217,728 and 333,072 is: 509,520.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,728 : 333,072 = 333,072 : x
  2. Step 2: Convert to fraction form
    217,728/333,072 = 333,072/x
  3. Step 3: Cross multiply
    217,728x = 333,072 × 333,072
  4. Step 4: Simplify right side
    217,728x = 110,936,957,184
  5. Step 5: Solve for x
    x = 110,936,957,184/217,728
  6. Step 6: Final answer
    x = 509,520.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.