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Finding the Third Proportional to 77,982 and 120,969

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Solution

The third proportional to 77,982 and 120,969 is: 187,652.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,982 : 120,969 = 120,969 : x
  2. Step 2: Convert to fraction form
    77,982/120,969 = 120,969/x
  3. Step 3: Cross multiply
    77,982x = 120,969 × 120,969
  4. Step 4: Simplify right side
    77,982x = 14,633,498,961
  5. Step 5: Solve for x
    x = 14,633,498,961/77,982
  6. Step 6: Final answer
    x = 187,652.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.