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Finding the Third Proportional to 140,200 and 217,696

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Solution

The third proportional to 140,200 and 217,696 is: 338,028.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,200 : 217,696 = 217,696 : x
  2. Step 2: Convert to fraction form
    140,200/217,696 = 217,696/x
  3. Step 3: Cross multiply
    140,200x = 217,696 × 217,696
  4. Step 4: Simplify right side
    140,200x = 47,391,548,416
  5. Step 5: Solve for x
    x = 47,391,548,416/140,200
  6. Step 6: Final answer
    x = 338,028.16

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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.