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Finding the Third Proportional to 209.25 and 320.63

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Solution

The third proportional to 209.25 and 320.63 is: 491.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.25 : 320.63 = 320.63 : x
  2. Step 2: Convert to fraction form
    209.25/320.63 = 320.63/x
  3. Step 3: Cross multiply
    209.25x = 320.63 × 320.63
  4. Step 4: Simplify right side
    209.25x = 102,800.39
  5. Step 5: Solve for x
    x = 102,800.39/209.25
  6. Step 6: Final answer
    x = 491.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.