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Finding the Third Proportional to 77,766 and 120,645

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Solution

The third proportional to 77,766 and 120,645 is: 187,166.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,766 : 120,645 = 120,645 : x
  2. Step 2: Convert to fraction form
    77,766/120,645 = 120,645/x
  3. Step 3: Cross multiply
    77,766x = 120,645 × 120,645
  4. Step 4: Simplify right side
    77,766x = 14,555,216,025
  5. Step 5: Solve for x
    x = 14,555,216,025/77,766
  6. Step 6: Final answer
    x = 187,166.83

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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.