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Finding the Third Proportional to 64.97 and 98.09

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Solution

The third proportional to 64.97 and 98.09 is: 148.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.97 : 98.09 = 98.09 : x
  2. Step 2: Convert to fraction form
    64.97/98.09 = 98.09/x
  3. Step 3: Cross multiply
    64.97x = 98.09 × 98.09
  4. Step 4: Simplify right side
    64.97x = 9,620.85
  5. Step 5: Solve for x
    x = 9,620.85/64.97
  6. Step 6: Final answer
    x = 148.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.