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Finding the Third Proportional to 76,314 and 120,519

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Solution

The third proportional to 76,314 and 120,519 is: 190,329.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,314 : 120,519 = 120,519 : x
  2. Step 2: Convert to fraction form
    76,314/120,519 = 120,519/x
  3. Step 3: Cross multiply
    76,314x = 120,519 × 120,519
  4. Step 4: Simplify right side
    76,314x = 14,524,829,361
  5. Step 5: Solve for x
    x = 14,524,829,361/76,314
  6. Step 6: Final answer
    x = 190,329.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.