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Finding the Third Proportional to 287,041 and 628,622

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Solution

The third proportional to 287,041 and 628,622 is: 1,376,687.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,041 : 628,622 = 628,622 : x
  2. Step 2: Convert to fraction form
    287,041/628,622 = 628,622/x
  3. Step 3: Cross multiply
    287,041x = 628,622 × 628,622
  4. Step 4: Simplify right side
    287,041x = 395,165,618,884
  5. Step 5: Solve for x
    x = 395,165,618,884/287,041
  6. Step 6: Final answer
    x = 1,376,687.02

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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.