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Finding the Third Proportional to 97.70 and 200.55

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Solution

The third proportional to 97.70 and 200.55 is: 411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.70 : 200.55 = 200.55 : x
  2. Step 2: Convert to fraction form
    97.70/200.55 = 200.55/x
  3. Step 3: Cross multiply
    97.70x = 200.55 × 200.55
  4. Step 4: Simplify right side
    97.70x = 40,220.11
  5. Step 5: Solve for x
    x = 40,220.11/97.70
  6. Step 6: Final answer
    x = 411.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.