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Finding the Third Proportional to 287,105 and 629,159

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Solution

The third proportional to 287,105 and 629,159 is: 1,378,732.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,105 : 629,159 = 629,159 : x
  2. Step 2: Convert to fraction form
    287,105/629,159 = 629,159/x
  3. Step 3: Cross multiply
    287,105x = 629,159 × 629,159
  4. Step 4: Simplify right side
    287,105x = 395,841,047,281
  5. Step 5: Solve for x
    x = 395,841,047,281/287,105
  6. Step 6: Final answer
    x = 1,378,732.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.