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Finding the Third Proportional to 218,918 and 475,200

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Solution

The third proportional to 218,918 and 475,200 is: 1,031,505.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,918 : 475,200 = 475,200 : x
  2. Step 2: Convert to fraction form
    218,918/475,200 = 475,200/x
  3. Step 3: Cross multiply
    218,918x = 475,200 × 475,200
  4. Step 4: Simplify right side
    218,918x = 225,815,040,000
  5. Step 5: Solve for x
    x = 225,815,040,000/218,918
  6. Step 6: Final answer
    x = 1,031,505.13

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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.