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Finding the Third Proportional to 132,212 and 212,834

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Solution

The third proportional to 132,212 and 212,834 is: 342,618.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,212 : 212,834 = 212,834 : x
  2. Step 2: Convert to fraction form
    132,212/212,834 = 212,834/x
  3. Step 3: Cross multiply
    132,212x = 212,834 × 212,834
  4. Step 4: Simplify right side
    132,212x = 45,298,311,556
  5. Step 5: Solve for x
    x = 45,298,311,556/132,212
  6. Step 6: Final answer
    x = 342,618.76

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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.