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Finding the Third Proportional to 191.94 and 310.38

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Solution

The third proportional to 191.94 and 310.38 is: 501.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.94 : 310.38 = 310.38 : x
  2. Step 2: Convert to fraction form
    191.94/310.38 = 310.38/x
  3. Step 3: Cross multiply
    191.94x = 310.38 × 310.38
  4. Step 4: Simplify right side
    191.94x = 96,332.64
  5. Step 5: Solve for x
    x = 96,332.64/191.94
  6. Step 6: Final answer
    x = 501.90

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.