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Finding the Third Proportional to 180,965 and 281,789

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Solution

The third proportional to 180,965 and 281,789 is: 438,786.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,965 : 281,789 = 281,789 : x
  2. Step 2: Convert to fraction form
    180,965/281,789 = 281,789/x
  3. Step 3: Cross multiply
    180,965x = 281,789 × 281,789
  4. Step 4: Simplify right side
    180,965x = 79,405,040,521
  5. Step 5: Solve for x
    x = 79,405,040,521/180,965
  6. Step 6: Final answer
    x = 438,786.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.