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Finding the Third Proportional to 207.56 and 318.69

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Solution

The third proportional to 207.56 and 318.69 is: 489.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.56 : 318.69 = 318.69 : x
  2. Step 2: Convert to fraction form
    207.56/318.69 = 318.69/x
  3. Step 3: Cross multiply
    207.56x = 318.69 × 318.69
  4. Step 4: Simplify right side
    207.56x = 101,561.72
  5. Step 5: Solve for x
    x = 101,561.72/207.56
  6. Step 6: Final answer
    x = 489.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.