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Finding the Third Proportional to 197.91 and 307.20

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Solution

The third proportional to 197.91 and 307.20 is: 476.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.91 : 307.20 = 307.20 : x
  2. Step 2: Convert to fraction form
    197.91/307.20 = 307.20/x
  3. Step 3: Cross multiply
    197.91x = 307.20 × 307.20
  4. Step 4: Simplify right side
    197.91x = 94,368.96
  5. Step 5: Solve for x
    x = 94,368.96/197.91
  6. Step 6: Final answer
    x = 476.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.