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Finding the Third Proportional to 60,518 and 128,245

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Solution

The third proportional to 60,518 and 128,245 is: 271,766.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,518 : 128,245 = 128,245 : x
  2. Step 2: Convert to fraction form
    60,518/128,245 = 128,245/x
  3. Step 3: Cross multiply
    60,518x = 128,245 × 128,245
  4. Step 4: Simplify right side
    60,518x = 16,446,780,025
  5. Step 5: Solve for x
    x = 16,446,780,025/60,518
  6. Step 6: Final answer
    x = 271,766.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.