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Finding the Third Proportional to 97.56 and 206.40

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Solution

The third proportional to 97.56 and 206.40 is: 436.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.56 : 206.40 = 206.40 : x
  2. Step 2: Convert to fraction form
    97.56/206.40 = 206.40/x
  3. Step 3: Cross multiply
    97.56x = 206.40 × 206.40
  4. Step 4: Simplify right side
    97.56x = 42,601.93
  5. Step 5: Solve for x
    x = 42,601.93/97.56
  6. Step 6: Final answer
    x = 436.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.