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Finding the Third Proportional to 192,482 and 411,100

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Solution

The third proportional to 192,482 and 411,100 is: 878,020.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,482 : 411,100 = 411,100 : x
  2. Step 2: Convert to fraction form
    192,482/411,100 = 411,100/x
  3. Step 3: Cross multiply
    192,482x = 411,100 × 411,100
  4. Step 4: Simplify right side
    192,482x = 169,003,210,000
  5. Step 5: Solve for x
    x = 169,003,210,000/192,482
  6. Step 6: Final answer
    x = 878,020.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.