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Finding the Third Proportional to 132,159 and 212,796

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Solution

The third proportional to 132,159 and 212,796 is: 342,633.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,159 : 212,796 = 212,796 : x
  2. Step 2: Convert to fraction form
    132,159/212,796 = 212,796/x
  3. Step 3: Cross multiply
    132,159x = 212,796 × 212,796
  4. Step 4: Simplify right side
    132,159x = 45,282,137,616
  5. Step 5: Solve for x
    x = 45,282,137,616/132,159
  6. Step 6: Final answer
    x = 342,633.78

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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.