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Finding the Third Proportional to 209.67 and 457.73

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Solution

The third proportional to 209.67 and 457.73 is: 999.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.67 : 457.73 = 457.73 : x
  2. Step 2: Convert to fraction form
    209.67/457.73 = 457.73/x
  3. Step 3: Cross multiply
    209.67x = 457.73 × 457.73
  4. Step 4: Simplify right side
    209.67x = 209,520.76
  5. Step 5: Solve for x
    x = 209,520.76/209.67
  6. Step 6: Final answer
    x = 999.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.