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Finding the Third Proportional to 218,923 and 475,020

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Solution

The third proportional to 218,923 and 475,020 is: 1,030,700.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,923 : 475,020 = 475,020 : x
  2. Step 2: Convert to fraction form
    218,923/475,020 = 475,020/x
  3. Step 3: Cross multiply
    218,923x = 475,020 × 475,020
  4. Step 4: Simplify right side
    218,923x = 225,644,000,400
  5. Step 5: Solve for x
    x = 225,644,000,400/218,923
  6. Step 6: Final answer
    x = 1,030,700.29

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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.