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Finding the Third Proportional to 106,933 and 216,458

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Solution

The third proportional to 106,933 and 216,458 is: 438,162.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,933 : 216,458 = 216,458 : x
  2. Step 2: Convert to fraction form
    106,933/216,458 = 216,458/x
  3. Step 3: Cross multiply
    106,933x = 216,458 × 216,458
  4. Step 4: Simplify right side
    106,933x = 46,854,065,764
  5. Step 5: Solve for x
    x = 46,854,065,764/106,933
  6. Step 6: Final answer
    x = 438,162.83

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.