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Finding the Third Proportional to 218,913 and 475,191

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Solution

The third proportional to 218,913 and 475,191 is: 1,031,489.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,913 : 475,191 = 475,191 : x
  2. Step 2: Convert to fraction form
    218,913/475,191 = 475,191/x
  3. Step 3: Cross multiply
    218,913x = 475,191 × 475,191
  4. Step 4: Simplify right side
    218,913x = 225,806,486,481
  5. Step 5: Solve for x
    x = 225,806,486,481/218,913
  6. Step 6: Final answer
    x = 1,031,489.62

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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.