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Finding the Third Proportional to 194.34 and 312.61

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Solution

The third proportional to 194.34 and 312.61 is: 502.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.34 : 312.61 = 312.61 : x
  2. Step 2: Convert to fraction form
    194.34/312.61 = 312.61/x
  3. Step 3: Cross multiply
    194.34x = 312.61 × 312.61
  4. Step 4: Simplify right side
    194.34x = 97,724.62
  5. Step 5: Solve for x
    x = 97,724.62/194.34
  6. Step 6: Final answer
    x = 502.84

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.