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Finding the Third Proportional to 197.72 and 314.30

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Solution

The third proportional to 197.72 and 314.30 is: 499.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.72 : 314.30 = 314.30 : x
  2. Step 2: Convert to fraction form
    197.72/314.30 = 314.30/x
  3. Step 3: Cross multiply
    197.72x = 314.30 × 314.30
  4. Step 4: Simplify right side
    197.72x = 98,782.53
  5. Step 5: Solve for x
    x = 98,782.53/197.72
  6. Step 6: Final answer
    x = 499.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.