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Finding the Third Proportional to 129,738 and 276,216

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Solution

The third proportional to 129,738 and 276,216 is: 588,071.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,738 : 276,216 = 276,216 : x
  2. Step 2: Convert to fraction form
    129,738/276,216 = 276,216/x
  3. Step 3: Cross multiply
    129,738x = 276,216 × 276,216
  4. Step 4: Simplify right side
    129,738x = 76,295,278,656
  5. Step 5: Solve for x
    x = 76,295,278,656/129,738
  6. Step 6: Final answer
    x = 588,071.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.