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Finding the Third Proportional to 120,795 and 159,717

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Solution

The third proportional to 120,795 and 159,717 is: 211,180.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,795 : 159,717 = 159,717 : x
  2. Step 2: Convert to fraction form
    120,795/159,717 = 159,717/x
  3. Step 3: Cross multiply
    120,795x = 159,717 × 159,717
  4. Step 4: Simplify right side
    120,795x = 25,509,520,089
  5. Step 5: Solve for x
    x = 25,509,520,089/120,795
  6. Step 6: Final answer
    x = 211,180.26

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.