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Finding the Third Proportional to 194.27 and 419.87

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Solution

The third proportional to 194.27 and 419.87 is: 907.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.27 : 419.87 = 419.87 : x
  2. Step 2: Convert to fraction form
    194.27/419.87 = 419.87/x
  3. Step 3: Cross multiply
    194.27x = 419.87 × 419.87
  4. Step 4: Simplify right side
    194.27x = 176,291.74
  5. Step 5: Solve for x
    x = 176,291.74/194.27
  6. Step 6: Final answer
    x = 907.44

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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.