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Finding the Third Proportional to 197,238 and 320,448

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Solution

The third proportional to 197,238 and 320,448 is: 520,624.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,238 : 320,448 = 320,448 : x
  2. Step 2: Convert to fraction form
    197,238/320,448 = 320,448/x
  3. Step 3: Cross multiply
    197,238x = 320,448 × 320,448
  4. Step 4: Simplify right side
    197,238x = 102,686,920,704
  5. Step 5: Solve for x
    x = 102,686,920,704/197,238
  6. Step 6: Final answer
    x = 520,624.43

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.