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Finding the Third Proportional to 217,872 and 333,079

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Solution

The third proportional to 217,872 and 333,079 is: 509,205.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,872 : 333,079 = 333,079 : x
  2. Step 2: Convert to fraction form
    217,872/333,079 = 333,079/x
  3. Step 3: Cross multiply
    217,872x = 333,079 × 333,079
  4. Step 4: Simplify right side
    217,872x = 110,941,620,241
  5. Step 5: Solve for x
    x = 110,941,620,241/217,872
  6. Step 6: Final answer
    x = 509,205.50

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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.