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Finding the Third Proportional to 286,055 and 629,239

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Solution

The third proportional to 286,055 and 629,239 is: 1,384,145.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,055 : 629,239 = 629,239 : x
  2. Step 2: Convert to fraction form
    286,055/629,239 = 629,239/x
  3. Step 3: Cross multiply
    286,055x = 629,239 × 629,239
  4. Step 4: Simplify right side
    286,055x = 395,941,719,121
  5. Step 5: Solve for x
    x = 395,941,719,121/286,055
  6. Step 6: Final answer
    x = 1,384,145.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.