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Finding the Third Proportional to 311,872 and 645,136

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Solution

The third proportional to 311,872 and 645,136 is: 1,334,523.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,872 : 645,136 = 645,136 : x
  2. Step 2: Convert to fraction form
    311,872/645,136 = 645,136/x
  3. Step 3: Cross multiply
    311,872x = 645,136 × 645,136
  4. Step 4: Simplify right side
    311,872x = 416,200,458,496
  5. Step 5: Solve for x
    x = 416,200,458,496/311,872
  6. Step 6: Final answer
    x = 1,334,523.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.