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Finding the Third Proportional to 120,800 and 261,760

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Solution

The third proportional to 120,800 and 261,760 is: 567,204.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,800 : 261,760 = 261,760 : x
  2. Step 2: Convert to fraction form
    120,800/261,760 = 261,760/x
  3. Step 3: Cross multiply
    120,800x = 261,760 × 261,760
  4. Step 4: Simplify right side
    120,800x = 68,518,297,600
  5. Step 5: Solve for x
    x = 68,518,297,600/120,800
  6. Step 6: Final answer
    x = 567,204.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.