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Finding the Third Proportional to 211,182 and 425,820

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Solution

The third proportional to 211,182 and 425,820 is: 858,608.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,182 : 425,820 = 425,820 : x
  2. Step 2: Convert to fraction form
    211,182/425,820 = 425,820/x
  3. Step 3: Cross multiply
    211,182x = 425,820 × 425,820
  4. Step 4: Simplify right side
    211,182x = 181,322,672,400
  5. Step 5: Solve for x
    x = 181,322,672,400/211,182
  6. Step 6: Final answer
    x = 858,608.56

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.