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Finding the Third Proportional to 190.78 and 417.19

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Solution

The third proportional to 190.78 and 417.19 is: 912.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.78 : 417.19 = 417.19 : x
  2. Step 2: Convert to fraction form
    190.78/417.19 = 417.19/x
  3. Step 3: Cross multiply
    190.78x = 417.19 × 417.19
  4. Step 4: Simplify right side
    190.78x = 174,045.41
  5. Step 5: Solve for x
    x = 174,045.41/190.78
  6. Step 6: Final answer
    x = 912.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.