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Finding the Third Proportional to 299,624 and 641,895

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Solution

The third proportional to 299,624 and 641,895 is: 1,375,154.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,624 : 641,895 = 641,895 : x
  2. Step 2: Convert to fraction form
    299,624/641,895 = 641,895/x
  3. Step 3: Cross multiply
    299,624x = 641,895 × 641,895
  4. Step 4: Simplify right side
    299,624x = 412,029,191,025
  5. Step 5: Solve for x
    x = 412,029,191,025/299,624
  6. Step 6: Final answer
    x = 1,375,154.16

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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.