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Finding the Third Proportional to 142,016 and 311,192

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Solution

The third proportional to 142,016 and 311,192 is: 681,898.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,016 : 311,192 = 311,192 : x
  2. Step 2: Convert to fraction form
    142,016/311,192 = 311,192/x
  3. Step 3: Cross multiply
    142,016x = 311,192 × 311,192
  4. Step 4: Simplify right side
    142,016x = 96,840,460,864
  5. Step 5: Solve for x
    x = 96,840,460,864/142,016
  6. Step 6: Final answer
    x = 681,898.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.