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Finding the Third Proportional to 66,892 and 146,221

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Solution

The third proportional to 66,892 and 146,221 is: 319,628.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,892 : 146,221 = 146,221 : x
  2. Step 2: Convert to fraction form
    66,892/146,221 = 146,221/x
  3. Step 3: Cross multiply
    66,892x = 146,221 × 146,221
  4. Step 4: Simplify right side
    66,892x = 21,380,580,841
  5. Step 5: Solve for x
    x = 21,380,580,841/66,892
  6. Step 6: Final answer
    x = 319,628.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.