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Finding the Third Proportional to 56,471 and 122,782

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Solution

The third proportional to 56,471 and 122,782 is: 266,958.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,471 : 122,782 = 122,782 : x
  2. Step 2: Convert to fraction form
    56,471/122,782 = 122,782/x
  3. Step 3: Cross multiply
    56,471x = 122,782 × 122,782
  4. Step 4: Simplify right side
    56,471x = 15,075,419,524
  5. Step 5: Solve for x
    x = 15,075,419,524/56,471
  6. Step 6: Final answer
    x = 266,958.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.