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Finding the Third Proportional to 122,314 and 172,245

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Solution

The third proportional to 122,314 and 172,245 is: 242,558.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,314 : 172,245 = 172,245 : x
  2. Step 2: Convert to fraction form
    122,314/172,245 = 172,245/x
  3. Step 3: Cross multiply
    122,314x = 172,245 × 172,245
  4. Step 4: Simplify right side
    122,314x = 29,668,340,025
  5. Step 5: Solve for x
    x = 29,668,340,025/122,314
  6. Step 6: Final answer
    x = 242,558.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.