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Finding the Third Proportional to 206,474 and 312,568

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Solution

The third proportional to 206,474 and 312,568 is: 473,177.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,474 : 312,568 = 312,568 : x
  2. Step 2: Convert to fraction form
    206,474/312,568 = 312,568/x
  3. Step 3: Cross multiply
    206,474x = 312,568 × 312,568
  4. Step 4: Simplify right side
    206,474x = 97,698,754,624
  5. Step 5: Solve for x
    x = 97,698,754,624/206,474
  6. Step 6: Final answer
    x = 473,177.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.