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Finding the Third Proportional to 81,560 and 120,824

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Solution

The third proportional to 81,560 and 120,824 is: 178,990.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,560 : 120,824 = 120,824 : x
  2. Step 2: Convert to fraction form
    81,560/120,824 = 120,824/x
  3. Step 3: Cross multiply
    81,560x = 120,824 × 120,824
  4. Step 4: Simplify right side
    81,560x = 14,598,438,976
  5. Step 5: Solve for x
    x = 14,598,438,976/81,560
  6. Step 6: Final answer
    x = 178,990.18

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.