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Finding the Third Proportional to 76,659 and 164,971

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Solution

The third proportional to 76,659 and 164,971 is: 355,019.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,659 : 164,971 = 164,971 : x
  2. Step 2: Convert to fraction form
    76,659/164,971 = 164,971/x
  3. Step 3: Cross multiply
    76,659x = 164,971 × 164,971
  4. Step 4: Simplify right side
    76,659x = 27,215,430,841
  5. Step 5: Solve for x
    x = 27,215,430,841/76,659
  6. Step 6: Final answer
    x = 355,019.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.