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Finding the Third Proportional to 76,842 and 120,555

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Solution

The third proportional to 76,842 and 120,555 is: 189,134.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,842 : 120,555 = 120,555 : x
  2. Step 2: Convert to fraction form
    76,842/120,555 = 120,555/x
  3. Step 3: Cross multiply
    76,842x = 120,555 × 120,555
  4. Step 4: Simplify right side
    76,842x = 14,533,508,025
  5. Step 5: Solve for x
    x = 14,533,508,025/76,842
  6. Step 6: Final answer
    x = 189,134.95

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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.