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Finding the Third Proportional to 90.49 and 195.08

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Solution

The third proportional to 90.49 and 195.08 is: 420.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.49 : 195.08 = 195.08 : x
  2. Step 2: Convert to fraction form
    90.49/195.08 = 195.08/x
  3. Step 3: Cross multiply
    90.49x = 195.08 × 195.08
  4. Step 4: Simplify right side
    90.49x = 38,057.00
  5. Step 5: Solve for x
    x = 38,057.00/90.49
  6. Step 6: Final answer
    x = 420.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.