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Finding the Third Proportional to 217,845 and 350,950.50

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Solution

The third proportional to 217,845 and 350,950.50 is: 565,384.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,845 : 350,950.50 = 350,950.50 : x
  2. Step 2: Convert to fraction form
    217,845/350,950.50 = 350,950.50/x
  3. Step 3: Cross multiply
    217,845x = 350,950.50 × 350,950.50
  4. Step 4: Simplify right side
    217,845x = 123,166,253,450.25
  5. Step 5: Solve for x
    x = 123,166,253,450.25/217,845
  6. Step 6: Final answer
    x = 565,384.81

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.