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Finding the Third Proportional to 77,837 and 120,752

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Solution

The third proportional to 77,837 and 120,752 is: 187,327.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,837 : 120,752 = 120,752 : x
  2. Step 2: Convert to fraction form
    77,837/120,752 = 120,752/x
  3. Step 3: Cross multiply
    77,837x = 120,752 × 120,752
  4. Step 4: Simplify right side
    77,837x = 14,581,045,504
  5. Step 5: Solve for x
    x = 14,581,045,504/77,837
  6. Step 6: Final answer
    x = 187,327.95

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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.