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Finding the Third Proportional to 105.19 and 202.06

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Solution

The third proportional to 105.19 and 202.06 is: 388.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.19 : 202.06 = 202.06 : x
  2. Step 2: Convert to fraction form
    105.19/202.06 = 202.06/x
  3. Step 3: Cross multiply
    105.19x = 202.06 × 202.06
  4. Step 4: Simplify right side
    105.19x = 40,829.25
  5. Step 5: Solve for x
    x = 40,829.25/105.19
  6. Step 6: Final answer
    x = 388.16

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.