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Finding the Third Proportional to 128,560 and 276,876

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Solution

The third proportional to 128,560 and 276,876 is: 596,299.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,560 : 276,876 = 276,876 : x
  2. Step 2: Convert to fraction form
    128,560/276,876 = 276,876/x
  3. Step 3: Cross multiply
    128,560x = 276,876 × 276,876
  4. Step 4: Simplify right side
    128,560x = 76,660,319,376
  5. Step 5: Solve for x
    x = 76,660,319,376/128,560
  6. Step 6: Final answer
    x = 596,299.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.