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Finding the Third Proportional to 197,448 and 288,766

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Solution

The third proportional to 197,448 and 288,766 is: 422,317.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,448 : 288,766 = 288,766 : x
  2. Step 2: Convert to fraction form
    197,448/288,766 = 288,766/x
  3. Step 3: Cross multiply
    197,448x = 288,766 × 288,766
  4. Step 4: Simplify right side
    197,448x = 83,385,802,756
  5. Step 5: Solve for x
    x = 83,385,802,756/197,448
  6. Step 6: Final answer
    x = 422,317.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.