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Finding the Third Proportional to 119,636 and 251,665

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Solution

The third proportional to 119,636 and 251,665 is: 529,399.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,636 : 251,665 = 251,665 : x
  2. Step 2: Convert to fraction form
    119,636/251,665 = 251,665/x
  3. Step 3: Cross multiply
    119,636x = 251,665 × 251,665
  4. Step 4: Simplify right side
    119,636x = 63,335,272,225
  5. Step 5: Solve for x
    x = 63,335,272,225/119,636
  6. Step 6: Final answer
    x = 529,399.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.