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Finding the Third Proportional to 100,119 and 177,980

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Solution

The third proportional to 100,119 and 177,980 is: 316,392.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,119 : 177,980 = 177,980 : x
  2. Step 2: Convert to fraction form
    100,119/177,980 = 177,980/x
  3. Step 3: Cross multiply
    100,119x = 177,980 × 177,980
  4. Step 4: Simplify right side
    100,119x = 31,676,880,400
  5. Step 5: Solve for x
    x = 31,676,880,400/100,119
  6. Step 6: Final answer
    x = 316,392.30

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.