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Finding the Third Proportional to 77,156 and 120,245

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Solution

The third proportional to 77,156 and 120,245 is: 187,397.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,156 : 120,245 = 120,245 : x
  2. Step 2: Convert to fraction form
    77,156/120,245 = 120,245/x
  3. Step 3: Cross multiply
    77,156x = 120,245 × 120,245
  4. Step 4: Simplify right side
    77,156x = 14,458,860,025
  5. Step 5: Solve for x
    x = 14,458,860,025/77,156
  6. Step 6: Final answer
    x = 187,397.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.