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Finding the Third Proportional to 129,198 and 274,033

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Solution

The third proportional to 129,198 and 274,033 is: 581,232.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,198 : 274,033 = 274,033 : x
  2. Step 2: Convert to fraction form
    129,198/274,033 = 274,033/x
  3. Step 3: Cross multiply
    129,198x = 274,033 × 274,033
  4. Step 4: Simplify right side
    129,198x = 75,094,085,089
  5. Step 5: Solve for x
    x = 75,094,085,089/129,198
  6. Step 6: Final answer
    x = 581,232.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.