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Finding the Third Proportional to 142,568 and 199,318

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Solution

The third proportional to 142,568 and 199,318 is: 278,657.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,568 : 199,318 = 199,318 : x
  2. Step 2: Convert to fraction form
    142,568/199,318 = 199,318/x
  3. Step 3: Cross multiply
    142,568x = 199,318 × 199,318
  4. Step 4: Simplify right side
    142,568x = 39,727,665,124
  5. Step 5: Solve for x
    x = 39,727,665,124/142,568
  6. Step 6: Final answer
    x = 278,657.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.