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Finding the Third Proportional to 299,608 and 636,152

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Solution

The third proportional to 299,608 and 636,152 is: 1,350,729.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,608 : 636,152 = 636,152 : x
  2. Step 2: Convert to fraction form
    299,608/636,152 = 636,152/x
  3. Step 3: Cross multiply
    299,608x = 636,152 × 636,152
  4. Step 4: Simplify right side
    299,608x = 404,689,367,104
  5. Step 5: Solve for x
    x = 404,689,367,104/299,608
  6. Step 6: Final answer
    x = 1,350,729.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.