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Finding the Third Proportional to 98.13 and 209.28

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Solution

The third proportional to 98.13 and 209.28 is: 446.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.13 : 209.28 = 209.28 : x
  2. Step 2: Convert to fraction form
    98.13/209.28 = 209.28/x
  3. Step 3: Cross multiply
    98.13x = 209.28 × 209.28
  4. Step 4: Simplify right side
    98.13x = 43,798.64
  5. Step 5: Solve for x
    x = 43,798.64/98.13
  6. Step 6: Final answer
    x = 446.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.