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Finding the Third Proportional to 299,600 and 636,136

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Solution

The third proportional to 299,600 and 636,136 is: 1,350,697.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,600 : 636,136 = 636,136 : x
  2. Step 2: Convert to fraction form
    299,600/636,136 = 636,136/x
  3. Step 3: Cross multiply
    299,600x = 636,136 × 636,136
  4. Step 4: Simplify right side
    299,600x = 404,669,010,496
  5. Step 5: Solve for x
    x = 404,669,010,496/299,600
  6. Step 6: Final answer
    x = 1,350,697.63

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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.