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Finding the Third Proportional to 120.77 and 259.76

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Solution

The third proportional to 120.77 and 259.76 is: 558.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.77 : 259.76 = 259.76 : x
  2. Step 2: Convert to fraction form
    120.77/259.76 = 259.76/x
  3. Step 3: Cross multiply
    120.77x = 259.76 × 259.76
  4. Step 4: Simplify right side
    120.77x = 67,474.12
  5. Step 5: Solve for x
    x = 67,474.12/120.77
  6. Step 6: Final answer
    x = 558.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.