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Finding the Third Proportional to 132,161 and 212,799

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Solution

The third proportional to 132,161 and 212,799 is: 342,638.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,161 : 212,799 = 212,799 : x
  2. Step 2: Convert to fraction form
    132,161/212,799 = 212,799/x
  3. Step 3: Cross multiply
    132,161x = 212,799 × 212,799
  4. Step 4: Simplify right side
    132,161x = 45,283,414,401
  5. Step 5: Solve for x
    x = 45,283,414,401/132,161
  6. Step 6: Final answer
    x = 342,638.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.