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Finding the Third Proportional to 90.56 and 197.58

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Solution

The third proportional to 90.56 and 197.58 is: 431.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.56 : 197.58 = 197.58 : x
  2. Step 2: Convert to fraction form
    90.56/197.58 = 197.58/x
  3. Step 3: Cross multiply
    90.56x = 197.58 × 197.58
  4. Step 4: Simplify right side
    90.56x = 39,037.12
  5. Step 5: Solve for x
    x = 39,037.12/90.56
  6. Step 6: Final answer
    x = 431.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.