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Finding the Third Proportional to 209.81 and 355.78

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Solution

The third proportional to 209.81 and 355.78 is: 603.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.81 : 355.78 = 355.78 : x
  2. Step 2: Convert to fraction form
    209.81/355.78 = 355.78/x
  3. Step 3: Cross multiply
    209.81x = 355.78 × 355.78
  4. Step 4: Simplify right side
    209.81x = 126,580.30
  5. Step 5: Solve for x
    x = 126,580.30/209.81
  6. Step 6: Final answer
    x = 603.30

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.