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Finding the Third Proportional to 83.06 and 218.06

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Solution

The third proportional to 83.06 and 218.06 is: 572.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.06 : 218.06 = 218.06 : x
  2. Step 2: Convert to fraction form
    83.06/218.06 = 218.06/x
  3. Step 3: Cross multiply
    83.06x = 218.06 × 218.06
  4. Step 4: Simplify right side
    83.06x = 47,551.25
  5. Step 5: Solve for x
    x = 47,551.25/83.06
  6. Step 6: Final answer
    x = 572.48

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.