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Finding the Third Proportional to 76,508 and 165,721

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Solution

The third proportional to 76,508 and 165,721 is: 358,961.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,508 : 165,721 = 165,721 : x
  2. Step 2: Convert to fraction form
    76,508/165,721 = 165,721/x
  3. Step 3: Cross multiply
    76,508x = 165,721 × 165,721
  4. Step 4: Simplify right side
    76,508x = 27,463,449,841
  5. Step 5: Solve for x
    x = 27,463,449,841/76,508
  6. Step 6: Final answer
    x = 358,961.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.