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Finding the Third Proportional to 131,947 and 276,853

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Solution

The third proportional to 131,947 and 276,853 is: 580,896.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,947 : 276,853 = 276,853 : x
  2. Step 2: Convert to fraction form
    131,947/276,853 = 276,853/x
  3. Step 3: Cross multiply
    131,947x = 276,853 × 276,853
  4. Step 4: Simplify right side
    131,947x = 76,647,583,609
  5. Step 5: Solve for x
    x = 76,647,583,609/131,947
  6. Step 6: Final answer
    x = 580,896.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.