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Finding the Third Proportional to 197,542 and 313,809

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Solution

The third proportional to 197,542 and 313,809 is: 498,507.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,542 : 313,809 = 313,809 : x
  2. Step 2: Convert to fraction form
    197,542/313,809 = 313,809/x
  3. Step 3: Cross multiply
    197,542x = 313,809 × 313,809
  4. Step 4: Simplify right side
    197,542x = 98,476,088,481
  5. Step 5: Solve for x
    x = 98,476,088,481/197,542
  6. Step 6: Final answer
    x = 498,507.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.