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Finding the Third Proportional to 132,867 and 200,412

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Solution

The third proportional to 132,867 and 200,412 is: 302,294.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,867 : 200,412 = 200,412 : x
  2. Step 2: Convert to fraction form
    132,867/200,412 = 200,412/x
  3. Step 3: Cross multiply
    132,867x = 200,412 × 200,412
  4. Step 4: Simplify right side
    132,867x = 40,164,969,744
  5. Step 5: Solve for x
    x = 40,164,969,744/132,867
  6. Step 6: Final answer
    x = 302,294.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.