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Finding the Third Proportional to 286,021.13 and 629,167.50

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Solution

The third proportional to 286,021.13 and 629,167.50 is: 1,383,994.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,021.13 : 629,167.50 = 629,167.50 : x
  2. Step 2: Convert to fraction form
    286,021.13/629,167.50 = 629,167.50/x
  3. Step 3: Cross multiply
    286,021.13x = 629,167.50 × 629,167.50
  4. Step 4: Simplify right side
    286,021.13x = 395,851,743,056.25
  5. Step 5: Solve for x
    x = 395,851,743,056.25/286,021.13
  6. Step 6: Final answer
    x = 1,383,994.78

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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.