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Finding the Third Proportional to 77,842 and 120,408

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Solution

The third proportional to 77,842 and 120,408 is: 186,250.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,842 : 120,408 = 120,408 : x
  2. Step 2: Convert to fraction form
    77,842/120,408 = 120,408/x
  3. Step 3: Cross multiply
    77,842x = 120,408 × 120,408
  4. Step 4: Simplify right side
    77,842x = 14,498,086,464
  5. Step 5: Solve for x
    x = 14,498,086,464/77,842
  6. Step 6: Final answer
    x = 186,250.18

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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.