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Finding the Third Proportional to 77,104 and 120,980

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Solution

The third proportional to 77,104 and 120,980 is: 189,823.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,104 : 120,980 = 120,980 : x
  2. Step 2: Convert to fraction form
    77,104/120,980 = 120,980/x
  3. Step 3: Cross multiply
    77,104x = 120,980 × 120,980
  4. Step 4: Simplify right side
    77,104x = 14,636,160,400
  5. Step 5: Solve for x
    x = 14,636,160,400/77,104
  6. Step 6: Final answer
    x = 189,823.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.