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Finding the Third Proportional to 98.97 and 217.06

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Solution

The third proportional to 98.97 and 217.06 is: 476.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.97 : 217.06 = 217.06 : x
  2. Step 2: Convert to fraction form
    98.97/217.06 = 217.06/x
  3. Step 3: Cross multiply
    98.97x = 217.06 × 217.06
  4. Step 4: Simplify right side
    98.97x = 47,116.13
  5. Step 5: Solve for x
    x = 47,116.13/98.97
  6. Step 6: Final answer
    x = 476.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.