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Finding the Third Proportional to 207.94 and 312.84

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Solution

The third proportional to 207.94 and 312.84 is: 470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.94 : 312.84 = 312.84 : x
  2. Step 2: Convert to fraction form
    207.94/312.84 = 312.84/x
  3. Step 3: Cross multiply
    207.94x = 312.84 × 312.84
  4. Step 4: Simplify right side
    207.94x = 97,871.21
  5. Step 5: Solve for x
    x = 97,871.21/207.94
  6. Step 6: Final answer
    x = 470.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.