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Finding the Third Proportional to 244.90 and 406.27

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Solution

The third proportional to 244.90 and 406.27 is: 673.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.90 : 406.27 = 406.27 : x
  2. Step 2: Convert to fraction form
    244.90/406.27 = 406.27/x
  3. Step 3: Cross multiply
    244.90x = 406.27 × 406.27
  4. Step 4: Simplify right side
    244.90x = 165,051.76
  5. Step 5: Solve for x
    x = 165,051.76/244.90
  6. Step 6: Final answer
    x = 673.96

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.