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Finding the Third Proportional to 216,556 and 333,286

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Solution

The third proportional to 216,556 and 333,286 is: 512,936.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,556 : 333,286 = 333,286 : x
  2. Step 2: Convert to fraction form
    216,556/333,286 = 333,286/x
  3. Step 3: Cross multiply
    216,556x = 333,286 × 333,286
  4. Step 4: Simplify right side
    216,556x = 111,079,557,796
  5. Step 5: Solve for x
    x = 111,079,557,796/216,556
  6. Step 6: Final answer
    x = 512,936.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.