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Finding the Third Proportional to 194.80 and 419.03

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Solution

The third proportional to 194.80 and 419.03 is: 901.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.80 : 419.03 = 419.03 : x
  2. Step 2: Convert to fraction form
    194.80/419.03 = 419.03/x
  3. Step 3: Cross multiply
    194.80x = 419.03 × 419.03
  4. Step 4: Simplify right side
    194.80x = 175,583.91
  5. Step 5: Solve for x
    x = 175,583.91/194.80
  6. Step 6: Final answer
    x = 901.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.