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Finding the Third Proportional to 177,722 and 281,379

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Solution

The third proportional to 177,722 and 281,379 is: 445,494.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,722 : 281,379 = 281,379 : x
  2. Step 2: Convert to fraction form
    177,722/281,379 = 281,379/x
  3. Step 3: Cross multiply
    177,722x = 281,379 × 281,379
  4. Step 4: Simplify right side
    177,722x = 79,174,141,641
  5. Step 5: Solve for x
    x = 79,174,141,641/177,722
  6. Step 6: Final answer
    x = 445,494.32

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.