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Finding the Third Proportional to 209.30 and 439.96

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Solution

The third proportional to 209.30 and 439.96 is: 924.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.30 : 439.96 = 439.96 : x
  2. Step 2: Convert to fraction form
    209.30/439.96 = 439.96/x
  3. Step 3: Cross multiply
    209.30x = 439.96 × 439.96
  4. Step 4: Simplify right side
    209.30x = 193,567.35
  5. Step 5: Solve for x
    x = 193,567.35/209.30
  6. Step 6: Final answer
    x = 924.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.