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Finding the Third Proportional to 289,796 and 641,790

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Solution

The third proportional to 289,796 and 641,790 is: 1,421,325.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,796 : 641,790 = 641,790 : x
  2. Step 2: Convert to fraction form
    289,796/641,790 = 641,790/x
  3. Step 3: Cross multiply
    289,796x = 641,790 × 641,790
  4. Step 4: Simplify right side
    289,796x = 411,894,404,100
  5. Step 5: Solve for x
    x = 411,894,404,100/289,796
  6. Step 6: Final answer
    x = 1,421,325.36

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.