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Finding the Third Proportional to 287,189 and 626,601

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Solution

The third proportional to 287,189 and 626,601 is: 1,367,144.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,189 : 626,601 = 626,601 : x
  2. Step 2: Convert to fraction form
    287,189/626,601 = 626,601/x
  3. Step 3: Cross multiply
    287,189x = 626,601 × 626,601
  4. Step 4: Simplify right side
    287,189x = 392,628,813,201
  5. Step 5: Solve for x
    x = 392,628,813,201/287,189
  6. Step 6: Final answer
    x = 1,367,144.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.