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Finding the Third Proportional to 132,179 and 212,780

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Solution

The third proportional to 132,179 and 212,780 is: 342,530.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,179 : 212,780 = 212,780 : x
  2. Step 2: Convert to fraction form
    132,179/212,780 = 212,780/x
  3. Step 3: Cross multiply
    132,179x = 212,780 × 212,780
  4. Step 4: Simplify right side
    132,179x = 45,275,328,400
  5. Step 5: Solve for x
    x = 45,275,328,400/132,179
  6. Step 6: Final answer
    x = 342,530.42

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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.