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Finding the Third Proportional to 299,606 and 636,148

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Solution

The third proportional to 299,606 and 636,148 is: 1,350,721.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,606 : 636,148 = 636,148 : x
  2. Step 2: Convert to fraction form
    299,606/636,148 = 636,148/x
  3. Step 3: Cross multiply
    299,606x = 636,148 × 636,148
  4. Step 4: Simplify right side
    299,606x = 404,684,277,904
  5. Step 5: Solve for x
    x = 404,684,277,904/299,606
  6. Step 6: Final answer
    x = 1,350,721.54

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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.