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Finding the Third Proportional to 207.88 and 312.69

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Solution

The third proportional to 207.88 and 312.69 is: 470.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.88 : 312.69 = 312.69 : x
  2. Step 2: Convert to fraction form
    207.88/312.69 = 312.69/x
  3. Step 3: Cross multiply
    207.88x = 312.69 × 312.69
  4. Step 4: Simplify right side
    207.88x = 97,773.47
  5. Step 5: Solve for x
    x = 97,773.47/207.88
  6. Step 6: Final answer
    x = 470.35

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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.