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Finding the Third Proportional to 290,968 and 626,204

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Solution

The third proportional to 290,968 and 626,204 is: 1,347,678.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,968 : 626,204 = 626,204 : x
  2. Step 2: Convert to fraction form
    290,968/626,204 = 626,204/x
  3. Step 3: Cross multiply
    290,968x = 626,204 × 626,204
  4. Step 4: Simplify right side
    290,968x = 392,131,449,616
  5. Step 5: Solve for x
    x = 392,131,449,616/290,968
  6. Step 6: Final answer
    x = 1,347,678.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.