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Finding the Third Proportional to 191.64 and 363.02

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Solution

The third proportional to 191.64 and 363.02 is: 687.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.64 : 363.02 = 363.02 : x
  2. Step 2: Convert to fraction form
    191.64/363.02 = 363.02/x
  3. Step 3: Cross multiply
    191.64x = 363.02 × 363.02
  4. Step 4: Simplify right side
    191.64x = 131,786.02
  5. Step 5: Solve for x
    x = 131,786.02/191.64
  6. Step 6: Final answer
    x = 687.69

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.