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Finding the Third Proportional to 98.16 and 208.88

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Solution

The third proportional to 98.16 and 208.88 is: 444.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.16 : 208.88 = 208.88 : x
  2. Step 2: Convert to fraction form
    98.16/208.88 = 208.88/x
  3. Step 3: Cross multiply
    98.16x = 208.88 × 208.88
  4. Step 4: Simplify right side
    98.16x = 43,628.77
  5. Step 5: Solve for x
    x = 43,628.77/98.16
  6. Step 6: Final answer
    x = 444.48

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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.