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Finding the Third Proportional to 299,538 and 641,196

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Solution

The third proportional to 299,538 and 641,196 is: 1,372,554.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,538 : 641,196 = 641,196 : x
  2. Step 2: Convert to fraction form
    299,538/641,196 = 641,196/x
  3. Step 3: Cross multiply
    299,538x = 641,196 × 641,196
  4. Step 4: Simplify right side
    299,538x = 411,132,310,416
  5. Step 5: Solve for x
    x = 411,132,310,416/299,538
  6. Step 6: Final answer
    x = 1,372,554.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.