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Finding the Third Proportional to 218,906 and 475,177

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Solution

The third proportional to 218,906 and 475,177 is: 1,031,461.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,906 : 475,177 = 475,177 : x
  2. Step 2: Convert to fraction form
    218,906/475,177 = 475,177/x
  3. Step 3: Cross multiply
    218,906x = 475,177 × 475,177
  4. Step 4: Simplify right side
    218,906x = 225,793,181,329
  5. Step 5: Solve for x
    x = 225,793,181,329/218,906
  6. Step 6: Final answer
    x = 1,031,461.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.