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Finding the Third Proportional to 140,780 and 218,168

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Solution

The third proportional to 140,780 and 218,168 is: 338,096.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,780 : 218,168 = 218,168 : x
  2. Step 2: Convert to fraction form
    140,780/218,168 = 218,168/x
  3. Step 3: Cross multiply
    140,780x = 218,168 × 218,168
  4. Step 4: Simplify right side
    140,780x = 47,597,276,224
  5. Step 5: Solve for x
    x = 47,597,276,224/140,780
  6. Step 6: Final answer
    x = 338,096.86

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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.