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Finding the Third Proportional to 299,136 and 645,234

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Solution

The third proportional to 299,136 and 645,234 is: 1,391,764.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,136 : 645,234 = 645,234 : x
  2. Step 2: Convert to fraction form
    299,136/645,234 = 645,234/x
  3. Step 3: Cross multiply
    299,136x = 645,234 × 645,234
  4. Step 4: Simplify right side
    299,136x = 416,326,914,756
  5. Step 5: Solve for x
    x = 416,326,914,756/299,136
  6. Step 6: Final answer
    x = 1,391,764.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.