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Finding the Third Proportional to 90.28 and 195.47

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Solution

The third proportional to 90.28 and 195.47 is: 423.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.28 : 195.47 = 195.47 : x
  2. Step 2: Convert to fraction form
    90.28/195.47 = 195.47/x
  3. Step 3: Cross multiply
    90.28x = 195.47 × 195.47
  4. Step 4: Simplify right side
    90.28x = 38,208.03
  5. Step 5: Solve for x
    x = 38,208.03/90.28
  6. Step 6: Final answer
    x = 423.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.