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Finding the Third Proportional to 179,649 and 281,813

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Solution

The third proportional to 179,649 and 281,813 is: 442,076.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,649 : 281,813 = 281,813 : x
  2. Step 2: Convert to fraction form
    179,649/281,813 = 281,813/x
  3. Step 3: Cross multiply
    179,649x = 281,813 × 281,813
  4. Step 4: Simplify right side
    179,649x = 79,418,566,969
  5. Step 5: Solve for x
    x = 79,418,566,969/179,649
  6. Step 6: Final answer
    x = 442,076.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.